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Finding the Fourth Proportional to 753.40, 1,123.67 and 727.28

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Solution

The fourth proportional to 753.40, 1,123.67 and 727.28 is: 1,084.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.40 : 1,123.67 = 727.28 : x
  2. Step 2: Convert to fraction form
    753.40/1,123.67 = 727.28/x
  3. Step 3: Cross multiply
    753.40x = 1,123.67 × 727.28
  4. Step 4: Simplify right side
    753.40x = 817,222.72
  5. Step 5: Solve for x
    x = 817,222.72/753.40
  6. Step 6: Final answer
    x = 1,084.71

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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.