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Finding the Fourth Proportional to 984.75, 1,358.90 and 542.57

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Solution

The fourth proportional to 984.75, 1,358.90 and 542.57 is: 748.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.75 : 1,358.90 = 542.57 : x
  2. Step 2: Convert to fraction form
    984.75/1,358.90 = 542.57/x
  3. Step 3: Cross multiply
    984.75x = 1,358.90 × 542.57
  4. Step 4: Simplify right side
    984.75x = 737,288.87
  5. Step 5: Solve for x
    x = 737,288.87/984.75
  6. Step 6: Final answer
    x = 748.71

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Double scale
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1.5x scale

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.