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Finding the Fourth Proportional to 624.69, 862.47 and 404.04

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Solution

The fourth proportional to 624.69, 862.47 and 404.04 is: 557.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.69 : 862.47 = 404.04 : x
  2. Step 2: Convert to fraction form
    624.69/862.47 = 404.04/x
  3. Step 3: Cross multiply
    624.69x = 862.47 × 404.04
  4. Step 4: Simplify right side
    624.69x = 348,472.38
  5. Step 5: Solve for x
    x = 348,472.38/624.69
  6. Step 6: Final answer
    x = 557.83

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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.