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Finding the Fourth Proportional to 624.59, 934.91 and 349.85

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Solution

The fourth proportional to 624.59, 934.91 and 349.85 is: 523.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.59 : 934.91 = 349.85 : x
  2. Step 2: Convert to fraction form
    624.59/934.91 = 349.85/x
  3. Step 3: Cross multiply
    624.59x = 934.91 × 349.85
  4. Step 4: Simplify right side
    624.59x = 327,071.84
  5. Step 5: Solve for x
    x = 327,071.84/624.59
  6. Step 6: Final answer
    x = 523.66

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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.