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Finding the Fourth Proportional to 501.38, 691.50 and 418.28

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Solution

The fourth proportional to 501.38, 691.50 and 418.28 is: 576.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.38 : 691.50 = 418.28 : x
  2. Step 2: Convert to fraction form
    501.38/691.50 = 418.28/x
  3. Step 3: Cross multiply
    501.38x = 691.50 × 418.28
  4. Step 4: Simplify right side
    501.38x = 289,240.62
  5. Step 5: Solve for x
    x = 289,240.62/501.38
  6. Step 6: Final answer
    x = 576.89

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Why These Related Problems?

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