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Finding the Fourth Proportional to 2,288.52, 3,432.78 and 749.52

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Solution

The fourth proportional to 2,288.52, 3,432.78 and 749.52 is: 1,124.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.52 : 3,432.78 = 749.52 : x
  2. Step 2: Convert to fraction form
    2,288.52/3,432.78 = 749.52/x
  3. Step 3: Cross multiply
    2,288.52x = 3,432.78 × 749.52
  4. Step 4: Simplify right side
    2,288.52x = 2,572,937.27
  5. Step 5: Solve for x
    x = 2,572,937.27/2,288.52
  6. Step 6: Final answer
    x = 1,124.28

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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.