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Finding the Fourth Proportional to 1,011.50, 1,517.42 and 491.86

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Solution

The fourth proportional to 1,011.50, 1,517.42 and 491.86 is: 737.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.50 : 1,517.42 = 491.86 : x
  2. Step 2: Convert to fraction form
    1,011.50/1,517.42 = 491.86/x
  3. Step 3: Cross multiply
    1,011.50x = 1,517.42 × 491.86
  4. Step 4: Simplify right side
    1,011.50x = 746,358.20
  5. Step 5: Solve for x
    x = 746,358.20/1,011.50
  6. Step 6: Final answer
    x = 737.87

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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.