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Finding the Fourth Proportional to 785.42, 1,083.22 and 661.38

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Solution

The fourth proportional to 785.42, 1,083.22 and 661.38 is: 912.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.42 : 1,083.22 = 661.38 : x
  2. Step 2: Convert to fraction form
    785.42/1,083.22 = 661.38/x
  3. Step 3: Cross multiply
    785.42x = 1,083.22 × 661.38
  4. Step 4: Simplify right side
    785.42x = 716,420.04
  5. Step 5: Solve for x
    x = 716,420.04/785.42
  6. Step 6: Final answer
    x = 912.15

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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.