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Finding the Fourth Proportional to 660.19, 911.09 and 380.49

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Solution

The fourth proportional to 660.19, 911.09 and 380.49 is: 525.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.19 : 911.09 = 380.49 : x
  2. Step 2: Convert to fraction form
    660.19/911.09 = 380.49/x
  3. Step 3: Cross multiply
    660.19x = 911.09 × 380.49
  4. Step 4: Simplify right side
    660.19x = 346,657.10
  5. Step 5: Solve for x
    x = 346,657.10/660.19
  6. Step 6: Final answer
    x = 525.09

Related Problems

Find fourth proportional to 330.09, 455.54 and 190.24
Half scale
Find fourth proportional to 1,320.38, 1,822.18 and 760.97
Double scale
Find fourth proportional to 661.19, 912.47 and 381.49
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.