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Finding the Fourth Proportional to 901.43, 1,350.17 and 727.68

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Solution

The fourth proportional to 901.43, 1,350.17 and 727.68 is: 1,089.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.43 : 1,350.17 = 727.68 : x
  2. Step 2: Convert to fraction form
    901.43/1,350.17 = 727.68/x
  3. Step 3: Cross multiply
    901.43x = 1,350.17 × 727.68
  4. Step 4: Simplify right side
    901.43x = 982,495.86
  5. Step 5: Solve for x
    x = 982,495.86/901.43
  6. Step 6: Final answer
    x = 1,089.93

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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.