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Finding the Fourth Proportional to 862.53, 1,293.08 and 738.66

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Solution

The fourth proportional to 862.53, 1,293.08 and 738.66 is: 1,107.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.53 : 1,293.08 = 738.66 : x
  2. Step 2: Convert to fraction form
    862.53/1,293.08 = 738.66/x
  3. Step 3: Cross multiply
    862.53x = 1,293.08 × 738.66
  4. Step 4: Simplify right side
    862.53x = 955,144.25
  5. Step 5: Solve for x
    x = 955,144.25/862.53
  6. Step 6: Final answer
    x = 1,107.38

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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.