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Finding the Fourth Proportional to 753.71, 1,125.43 and 665.12

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Solution

The fourth proportional to 753.71, 1,125.43 and 665.12 is: 993.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.71 : 1,125.43 = 665.12 : x
  2. Step 2: Convert to fraction form
    753.71/1,125.43 = 665.12/x
  3. Step 3: Cross multiply
    753.71x = 1,125.43 × 665.12
  4. Step 4: Simplify right side
    753.71x = 748,546.83
  5. Step 5: Solve for x
    x = 748,546.83/753.71
  6. Step 6: Final answer
    x = 993.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.