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Finding the Fourth Proportional to 402.43, 605.13 and 387.85

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Solution

The fourth proportional to 402.43, 605.13 and 387.85 is: 583.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.43 : 605.13 = 387.85 : x
  2. Step 2: Convert to fraction form
    402.43/605.13 = 387.85/x
  3. Step 3: Cross multiply
    402.43x = 605.13 × 387.85
  4. Step 4: Simplify right side
    402.43x = 234,699.67
  5. Step 5: Solve for x
    x = 234,699.67/402.43
  6. Step 6: Final answer
    x = 583.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.