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Finding the Fourth Proportional to 1,105.85, 1,657.92 and 716.24

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Solution

The fourth proportional to 1,105.85, 1,657.92 and 716.24 is: 1,073.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.85 : 1,657.92 = 716.24 : x
  2. Step 2: Convert to fraction form
    1,105.85/1,657.92 = 716.24/x
  3. Step 3: Cross multiply
    1,105.85x = 1,657.92 × 716.24
  4. Step 4: Simplify right side
    1,105.85x = 1,187,463.02
  5. Step 5: Solve for x
    x = 1,187,463.02/1,105.85
  6. Step 6: Final answer
    x = 1,073.81

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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.