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Finding the Fourth Proportional to 862.79, 1,287.92 and 798.55

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Solution

The fourth proportional to 862.79, 1,287.92 and 798.55 is: 1,192.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.79 : 1,287.92 = 798.55 : x
  2. Step 2: Convert to fraction form
    862.79/1,287.92 = 798.55/x
  3. Step 3: Cross multiply
    862.79x = 1,287.92 × 798.55
  4. Step 4: Simplify right side
    862.79x = 1,028,467.29
  5. Step 5: Solve for x
    x = 1,028,467.29/862.79
  6. Step 6: Final answer
    x = 1,192.03

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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.