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Finding the Fourth Proportional to 1,185.19, 1,635.47 and 661.21

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Solution

The fourth proportional to 1,185.19, 1,635.47 and 661.21 is: 912.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.19 : 1,635.47 = 661.21 : x
  2. Step 2: Convert to fraction form
    1,185.19/1,635.47 = 661.21/x
  3. Step 3: Cross multiply
    1,185.19x = 1,635.47 × 661.21
  4. Step 4: Simplify right side
    1,185.19x = 1,081,385.81
  5. Step 5: Solve for x
    x = 1,081,385.81/1,185.19
  6. Step 6: Final answer
    x = 912.42

Related Problems

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Half scale
Find fourth proportional to 2,370.38, 3,270.93 and 1,322.42
Double scale
Find fourth proportional to 1,186.19, 1,636.84 and 662.21
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.