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Finding the Fourth Proportional to 862.02, 1,293.26 and 496.15

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Solution

The fourth proportional to 862.02, 1,293.26 and 496.15 is: 744.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.02 : 1,293.26 = 496.15 : x
  2. Step 2: Convert to fraction form
    862.02/1,293.26 = 496.15/x
  3. Step 3: Cross multiply
    862.02x = 1,293.26 × 496.15
  4. Step 4: Simplify right side
    862.02x = 641,645.24
  5. Step 5: Solve for x
    x = 641,645.24/862.02
  6. Step 6: Final answer
    x = 744.35

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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.