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Finding the Fourth Proportional to 862.44, 1,287.80 and 839.08

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Solution

The fourth proportional to 862.44, 1,287.80 and 839.08 is: 1,252.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.44 : 1,287.80 = 839.08 : x
  2. Step 2: Convert to fraction form
    862.44/1,287.80 = 839.08/x
  3. Step 3: Cross multiply
    862.44x = 1,287.80 × 839.08
  4. Step 4: Simplify right side
    862.44x = 1,080,564.64
  5. Step 5: Solve for x
    x = 1,080,564.64/862.44
  6. Step 6: Final answer
    x = 1,252.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.