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Finding the Fourth Proportional to 624.91, 862.41 and 404.05

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Solution

The fourth proportional to 624.91, 862.41 and 404.05 is: 557.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.91 : 862.41 = 404.05 : x
  2. Step 2: Convert to fraction form
    624.91/862.41 = 404.05/x
  3. Step 3: Cross multiply
    624.91x = 862.41 × 404.05
  4. Step 4: Simplify right side
    624.91x = 348,456.76
  5. Step 5: Solve for x
    x = 348,456.76/624.91
  6. Step 6: Final answer
    x = 557.61

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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.