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Finding the Fourth Proportional to 937.43, 1,405.73 and 721.16

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Solution

The fourth proportional to 937.43, 1,405.73 and 721.16 is: 1,081.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.43 : 1,405.73 = 721.16 : x
  2. Step 2: Convert to fraction form
    937.43/1,405.73 = 721.16/x
  3. Step 3: Cross multiply
    937.43x = 1,405.73 × 721.16
  4. Step 4: Simplify right side
    937.43x = 1,013,751.02
  5. Step 5: Solve for x
    x = 1,013,751.02/937.43
  6. Step 6: Final answer
    x = 1,081.42

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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.