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Finding the Fourth Proportional to 1,150.72, 1,726.03 and 667.15

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Solution

The fourth proportional to 1,150.72, 1,726.03 and 667.15 is: 1,000.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.72 : 1,726.03 = 667.15 : x
  2. Step 2: Convert to fraction form
    1,150.72/1,726.03 = 667.15/x
  3. Step 3: Cross multiply
    1,150.72x = 1,726.03 × 667.15
  4. Step 4: Simplify right side
    1,150.72x = 1,151,520.91
  5. Step 5: Solve for x
    x = 1,151,520.91/1,150.72
  6. Step 6: Final answer
    x = 1,000.70

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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.