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Finding the Fourth Proportional to 751.20, 1,123.92 and 409.44

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Solution

The fourth proportional to 751.20, 1,123.92 and 409.44 is: 612.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.20 : 1,123.92 = 409.44 : x
  2. Step 2: Convert to fraction form
    751.20/1,123.92 = 409.44/x
  3. Step 3: Cross multiply
    751.20x = 1,123.92 × 409.44
  4. Step 4: Simplify right side
    751.20x = 460,177.80
  5. Step 5: Solve for x
    x = 460,177.80/751.20
  6. Step 6: Final answer
    x = 612.59

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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.