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Finding the Fourth Proportional to 539.38, 807.68 and 374.61

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Solution

The fourth proportional to 539.38, 807.68 and 374.61 is: 560.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.38 : 807.68 = 374.61 : x
  2. Step 2: Convert to fraction form
    539.38/807.68 = 374.61/x
  3. Step 3: Cross multiply
    539.38x = 807.68 × 374.61
  4. Step 4: Simplify right side
    539.38x = 302,559.09
  5. Step 5: Solve for x
    x = 302,559.09/539.38
  6. Step 6: Final answer
    x = 560.94

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Why These Related Problems?

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