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Finding the Fourth Proportional to 944.50, 1,304.01 and 724.60

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Solution

The fourth proportional to 944.50, 1,304.01 and 724.60 is: 1,000.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.50 : 1,304.01 = 724.60 : x
  2. Step 2: Convert to fraction form
    944.50/1,304.01 = 724.60/x
  3. Step 3: Cross multiply
    944.50x = 1,304.01 × 724.60
  4. Step 4: Simplify right side
    944.50x = 944,885.65
  5. Step 5: Solve for x
    x = 944,885.65/944.50
  6. Step 6: Final answer
    x = 1,000.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.