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Finding the Fourth Proportional to 552.28, 762.02 and 331.19

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Solution

The fourth proportional to 552.28, 762.02 and 331.19 is: 456.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.28 : 762.02 = 331.19 : x
  2. Step 2: Convert to fraction form
    552.28/762.02 = 331.19/x
  3. Step 3: Cross multiply
    552.28x = 762.02 × 331.19
  4. Step 4: Simplify right side
    552.28x = 252,373.40
  5. Step 5: Solve for x
    x = 252,373.40/552.28
  6. Step 6: Final answer
    x = 456.97

Related Problems

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Half scale
Find fourth proportional to 1,104.56, 1,524.04 and 662.38
Double scale
Find fourth proportional to 553.28, 763.40 and 332.19
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.