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Finding the Fourth Proportional to 624.98, 862.17 and 403.85

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Solution

The fourth proportional to 624.98, 862.17 and 403.85 is: 557.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.98 : 862.17 = 403.85 : x
  2. Step 2: Convert to fraction form
    624.98/862.17 = 403.85/x
  3. Step 3: Cross multiply
    624.98x = 862.17 × 403.85
  4. Step 4: Simplify right side
    624.98x = 348,187.35
  5. Step 5: Solve for x
    x = 348,187.35/624.98
  6. Step 6: Final answer
    x = 557.12

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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.