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Finding the Fourth Proportional to 1,209.38, 1,812.92 and 624.15

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Solution

The fourth proportional to 1,209.38, 1,812.92 and 624.15 is: 935.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.38 : 1,812.92 = 624.15 : x
  2. Step 2: Convert to fraction form
    1,209.38/1,812.92 = 624.15/x
  3. Step 3: Cross multiply
    1,209.38x = 1,812.92 × 624.15
  4. Step 4: Simplify right side
    1,209.38x = 1,131,530.90
  5. Step 5: Solve for x
    x = 1,131,530.90/1,209.38
  6. Step 6: Final answer
    x = 935.63

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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.