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Finding the Fourth Proportional to 753.89, 1,132.60 and 664.52

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Solution

The fourth proportional to 753.89, 1,132.60 and 664.52 is: 998.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.89 : 1,132.60 = 664.52 : x
  2. Step 2: Convert to fraction form
    753.89/1,132.60 = 664.52/x
  3. Step 3: Cross multiply
    753.89x = 1,132.60 × 664.52
  4. Step 4: Simplify right side
    753.89x = 752,636.52
  5. Step 5: Solve for x
    x = 752,636.52/753.89
  6. Step 6: Final answer
    x = 998.33

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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.