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Finding the Fourth Proportional to 624.96, 862.20 and 404.04

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Solution

The fourth proportional to 624.96, 862.20 and 404.04 is: 557.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.96 : 862.20 = 404.04 : x
  2. Step 2: Convert to fraction form
    624.96/862.20 = 404.04/x
  3. Step 3: Cross multiply
    624.96x = 862.20 × 404.04
  4. Step 4: Simplify right side
    624.96x = 348,363.29
  5. Step 5: Solve for x
    x = 348,363.29/624.96
  6. Step 6: Final answer
    x = 557.42

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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.