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Finding the Fourth Proportional to 717.47, 1,077.29 and 682.23

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Solution

The fourth proportional to 717.47, 1,077.29 and 682.23 is: 1,024.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.47 : 1,077.29 = 682.23 : x
  2. Step 2: Convert to fraction form
    717.47/1,077.29 = 682.23/x
  3. Step 3: Cross multiply
    717.47x = 1,077.29 × 682.23
  4. Step 4: Simplify right side
    717.47x = 734,956.15
  5. Step 5: Solve for x
    x = 734,956.15/717.47
  6. Step 6: Final answer
    x = 1,024.38

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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.