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Finding the Fourth Proportional to 748.52, 1,031.78 and 551.72

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Solution

The fourth proportional to 748.52, 1,031.78 and 551.72 is: 760.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.52 : 1,031.78 = 551.72 : x
  2. Step 2: Convert to fraction form
    748.52/1,031.78 = 551.72/x
  3. Step 3: Cross multiply
    748.52x = 1,031.78 × 551.72
  4. Step 4: Simplify right side
    748.52x = 569,253.66
  5. Step 5: Solve for x
    x = 569,253.66/748.52
  6. Step 6: Final answer
    x = 760.51

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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.