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Finding the Fourth Proportional to 747.56, 1,031.68 and 526.58

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Solution

The fourth proportional to 747.56, 1,031.68 and 526.58 is: 726.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.56 : 1,031.68 = 526.58 : x
  2. Step 2: Convert to fraction form
    747.56/1,031.68 = 526.58/x
  3. Step 3: Cross multiply
    747.56x = 1,031.68 × 526.58
  4. Step 4: Simplify right side
    747.56x = 543,262.05
  5. Step 5: Solve for x
    x = 543,262.05/747.56
  6. Step 6: Final answer
    x = 726.71

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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.