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Finding the Fourth Proportional to 1,123.20, 1,549.92 and 625.84

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Solution

The fourth proportional to 1,123.20, 1,549.92 and 625.84 is: 863.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.20 : 1,549.92 = 625.84 : x
  2. Step 2: Convert to fraction form
    1,123.20/1,549.92 = 625.84/x
  3. Step 3: Cross multiply
    1,123.20x = 1,549.92 × 625.84
  4. Step 4: Simplify right side
    1,123.20x = 970,001.93
  5. Step 5: Solve for x
    x = 970,001.93/1,123.20
  6. Step 6: Final answer
    x = 863.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.