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Finding the Fourth Proportional to 500.50, 691.35 and 402.62

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Solution

The fourth proportional to 500.50, 691.35 and 402.62 is: 556.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.50 : 691.35 = 402.62 : x
  2. Step 2: Convert to fraction form
    500.50/691.35 = 402.62/x
  3. Step 3: Cross multiply
    500.50x = 691.35 × 402.62
  4. Step 4: Simplify right side
    500.50x = 278,351.34
  5. Step 5: Solve for x
    x = 278,351.34/500.50
  6. Step 6: Final answer
    x = 556.15

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