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Finding the Fourth Proportional to 624.30, 937.77 and 380.94

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Solution

The fourth proportional to 624.30, 937.77 and 380.94 is: 572.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.30 : 937.77 = 380.94 : x
  2. Step 2: Convert to fraction form
    624.30/937.77 = 380.94/x
  3. Step 3: Cross multiply
    624.30x = 937.77 × 380.94
  4. Step 4: Simplify right side
    624.30x = 357,234.10
  5. Step 5: Solve for x
    x = 357,234.10/624.30
  6. Step 6: Final answer
    x = 572.22

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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.