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Finding the Fourth Proportional to 862.27, 1,291.34 and 496.29

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Solution

The fourth proportional to 862.27, 1,291.34 and 496.29 is: 743.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.27 : 1,291.34 = 496.29 : x
  2. Step 2: Convert to fraction form
    862.27/1,291.34 = 496.29/x
  3. Step 3: Cross multiply
    862.27x = 1,291.34 × 496.29
  4. Step 4: Simplify right side
    862.27x = 640,875.53
  5. Step 5: Solve for x
    x = 640,875.53/862.27
  6. Step 6: Final answer
    x = 743.24

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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.