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Finding the Fourth Proportional to 624.38, 935.18 and 349.85

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Solution

The fourth proportional to 624.38, 935.18 and 349.85 is: 524.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.38 : 935.18 = 349.85 : x
  2. Step 2: Convert to fraction form
    624.38/935.18 = 349.85/x
  3. Step 3: Cross multiply
    624.38x = 935.18 × 349.85
  4. Step 4: Simplify right side
    624.38x = 327,174.62
  5. Step 5: Solve for x
    x = 327,174.62/624.38
  6. Step 6: Final answer
    x = 524.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.