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Finding the Fourth Proportional to 748.63, 1,031.47 and 558.77

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Solution

The fourth proportional to 748.63, 1,031.47 and 558.77 is: 769.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.63 : 1,031.47 = 558.77 : x
  2. Step 2: Convert to fraction form
    748.63/1,031.47 = 558.77/x
  3. Step 3: Cross multiply
    748.63x = 1,031.47 × 558.77
  4. Step 4: Simplify right side
    748.63x = 576,353.74
  5. Step 5: Solve for x
    x = 576,353.74/748.63
  6. Step 6: Final answer
    x = 769.88

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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.