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Finding the Fourth Proportional to 1,002.32, 1,502.42 and 539.97

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Solution

The fourth proportional to 1,002.32, 1,502.42 and 539.97 is: 809.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.32 : 1,502.42 = 539.97 : x
  2. Step 2: Convert to fraction form
    1,002.32/1,502.42 = 539.97/x
  3. Step 3: Cross multiply
    1,002.32x = 1,502.42 × 539.97
  4. Step 4: Simplify right side
    1,002.32x = 811,267.46
  5. Step 5: Solve for x
    x = 811,267.46/1,002.32
  6. Step 6: Final answer
    x = 809.39

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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.