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Finding the Fourth Proportional to 984.86, 1,359.07 and 542.71

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Solution

The fourth proportional to 984.86, 1,359.07 and 542.71 is: 748.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.86 : 1,359.07 = 542.71 : x
  2. Step 2: Convert to fraction form
    984.86/1,359.07 = 542.71/x
  3. Step 3: Cross multiply
    984.86x = 1,359.07 × 542.71
  4. Step 4: Simplify right side
    984.86x = 737,580.88
  5. Step 5: Solve for x
    x = 737,580.88/984.86
  6. Step 6: Final answer
    x = 748.92

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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.