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Finding the Fourth Proportional to 937.20, 1,290.82 and 812.86

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Solution

The fourth proportional to 937.20, 1,290.82 and 812.86 is: 1,119.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.20 : 1,290.82 = 812.86 : x
  2. Step 2: Convert to fraction form
    937.20/1,290.82 = 812.86/x
  3. Step 3: Cross multiply
    937.20x = 1,290.82 × 812.86
  4. Step 4: Simplify right side
    937.20x = 1,049,255.95
  5. Step 5: Solve for x
    x = 1,049,255.95/937.20
  6. Step 6: Final answer
    x = 1,119.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.