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Finding the Fourth Proportional to 1,446.67, 2,170.88 and 624.95

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Solution

The fourth proportional to 1,446.67, 2,170.88 and 624.95 is: 937.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.67 : 2,170.88 = 624.95 : x
  2. Step 2: Convert to fraction form
    1,446.67/2,170.88 = 624.95/x
  3. Step 3: Cross multiply
    1,446.67x = 2,170.88 × 624.95
  4. Step 4: Simplify right side
    1,446.67x = 1,356,691.46
  5. Step 5: Solve for x
    x = 1,356,691.46/1,446.67
  6. Step 6: Final answer
    x = 937.80

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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.