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Finding the Fourth Proportional to 1,049.53, 1,449.40 and 864.85

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Solution

The fourth proportional to 1,049.53, 1,449.40 and 864.85 is: 1,194.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.53 : 1,449.40 = 864.85 : x
  2. Step 2: Convert to fraction form
    1,049.53/1,449.40 = 864.85/x
  3. Step 3: Cross multiply
    1,049.53x = 1,449.40 × 864.85
  4. Step 4: Simplify right side
    1,049.53x = 1,253,506.34
  5. Step 5: Solve for x
    x = 1,253,506.34/1,049.53
  6. Step 6: Final answer
    x = 1,194.36

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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.