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Finding the Fourth Proportional to 862.20, 1,292.13 and 450.50

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Solution

The fourth proportional to 862.20, 1,292.13 and 450.50 is: 675.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.20 : 1,292.13 = 450.50 : x
  2. Step 2: Convert to fraction form
    862.20/1,292.13 = 450.50/x
  3. Step 3: Cross multiply
    862.20x = 1,292.13 × 450.50
  4. Step 4: Simplify right side
    862.20x = 582,098.10
  5. Step 5: Solve for x
    x = 582,098.10/862.20
  6. Step 6: Final answer
    x = 675.13

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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.