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Finding the Fourth Proportional to 862.44, 1,292.46 and 451

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Solution

The fourth proportional to 862.44, 1,292.46 and 451 is: 675.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.44 : 1,292.46 = 451 : x
  2. Step 2: Convert to fraction form
    862.44/1,292.46 = 451/x
  3. Step 3: Cross multiply
    862.44x = 1,292.46 × 451
  4. Step 4: Simplify right side
    862.44x = 582,899.46
  5. Step 5: Solve for x
    x = 582,899.46/862.44
  6. Step 6: Final answer
    x = 675.87

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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.