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Finding the Fourth Proportional to 753.37, 1,129.14 and 662.25

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Solution

The fourth proportional to 753.37, 1,129.14 and 662.25 is: 992.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.37 : 1,129.14 = 662.25 : x
  2. Step 2: Convert to fraction form
    753.37/1,129.14 = 662.25/x
  3. Step 3: Cross multiply
    753.37x = 1,129.14 × 662.25
  4. Step 4: Simplify right side
    753.37x = 747,772.97
  5. Step 5: Solve for x
    x = 747,772.97/753.37
  6. Step 6: Final answer
    x = 992.57

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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.