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Finding the Fourth Proportional to 624.92, 862.35 and 345.09

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Solution

The fourth proportional to 624.92, 862.35 and 345.09 is: 476.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.92 : 862.35 = 345.09 : x
  2. Step 2: Convert to fraction form
    624.92/862.35 = 345.09/x
  3. Step 3: Cross multiply
    624.92x = 862.35 × 345.09
  4. Step 4: Simplify right side
    624.92x = 297,590.30
  5. Step 5: Solve for x
    x = 297,590.30/624.92
  6. Step 6: Final answer
    x = 476.21

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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.