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Finding the Fourth Proportional to 753.47, 1,129.24 and 655.57

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Solution

The fourth proportional to 753.47, 1,129.24 and 655.57 is: 982.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.47 : 1,129.24 = 655.57 : x
  2. Step 2: Convert to fraction form
    753.47/1,129.24 = 655.57/x
  3. Step 3: Cross multiply
    753.47x = 1,129.24 × 655.57
  4. Step 4: Simplify right side
    753.47x = 740,295.87
  5. Step 5: Solve for x
    x = 740,295.87/753.47
  6. Step 6: Final answer
    x = 982.52

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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.