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Finding the Fourth Proportional to 748.47, 1,120.68 and 517.08

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Solution

The fourth proportional to 748.47, 1,120.68 and 517.08 is: 774.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.47 : 1,120.68 = 517.08 : x
  2. Step 2: Convert to fraction form
    748.47/1,120.68 = 517.08/x
  3. Step 3: Cross multiply
    748.47x = 1,120.68 × 517.08
  4. Step 4: Simplify right side
    748.47x = 579,481.21
  5. Step 5: Solve for x
    x = 579,481.21/748.47
  6. Step 6: Final answer
    x = 774.22

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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.