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Finding the Fourth Proportional to 862.26, 1,290.48 and 496.50

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Solution

The fourth proportional to 862.26, 1,290.48 and 496.50 is: 743.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.26 : 1,290.48 = 496.50 : x
  2. Step 2: Convert to fraction form
    862.26/1,290.48 = 496.50/x
  3. Step 3: Cross multiply
    862.26x = 1,290.48 × 496.50
  4. Step 4: Simplify right side
    862.26x = 640,723.32
  5. Step 5: Solve for x
    x = 640,723.32/862.26
  6. Step 6: Final answer
    x = 743.07

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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.