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Finding the Fourth Proportional to 624.50, 937.09 and 234.77

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Solution

The fourth proportional to 624.50, 937.09 and 234.77 is: 352.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.50 : 937.09 = 234.77 : x
  2. Step 2: Convert to fraction form
    624.50/937.09 = 234.77/x
  3. Step 3: Cross multiply
    624.50x = 937.09 × 234.77
  4. Step 4: Simplify right side
    624.50x = 220,000.62
  5. Step 5: Solve for x
    x = 220,000.62/624.50
  6. Step 6: Final answer
    x = 352.28

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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.