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Finding the Fourth Proportional to 624.90, 862.64 and 404.16

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Solution

The fourth proportional to 624.90, 862.64 and 404.16 is: 557.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.90 : 862.64 = 404.16 : x
  2. Step 2: Convert to fraction form
    624.90/862.64 = 404.16/x
  3. Step 3: Cross multiply
    624.90x = 862.64 × 404.16
  4. Step 4: Simplify right side
    624.90x = 348,644.58
  5. Step 5: Solve for x
    x = 348,644.58/624.90
  6. Step 6: Final answer
    x = 557.92

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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.