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Finding the Fourth Proportional to 1,581.78, 2,373.54 and 748.68

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Solution

The fourth proportional to 1,581.78, 2,373.54 and 748.68 is: 1,123.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.78 : 2,373.54 = 748.68 : x
  2. Step 2: Convert to fraction form
    1,581.78/2,373.54 = 748.68/x
  3. Step 3: Cross multiply
    1,581.78x = 2,373.54 × 748.68
  4. Step 4: Simplify right side
    1,581.78x = 1,777,021.93
  5. Step 5: Solve for x
    x = 1,777,021.93/1,581.78
  6. Step 6: Final answer
    x = 1,123.43

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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.