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Finding the Fourth Proportional to 502.38, 756.59 and 442.17

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Solution

The fourth proportional to 502.38, 756.59 and 442.17 is: 665.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.38 : 756.59 = 442.17 : x
  2. Step 2: Convert to fraction form
    502.38/756.59 = 442.17/x
  3. Step 3: Cross multiply
    502.38x = 756.59 × 442.17
  4. Step 4: Simplify right side
    502.38x = 334,539.19
  5. Step 5: Solve for x
    x = 334,539.19/502.38
  6. Step 6: Final answer
    x = 665.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.