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Finding the Fourth Proportional to 937.59, 1,296.32 and 820.85

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Solution

The fourth proportional to 937.59, 1,296.32 and 820.85 is: 1,134.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.59 : 1,296.32 = 820.85 : x
  2. Step 2: Convert to fraction form
    937.59/1,296.32 = 820.85/x
  3. Step 3: Cross multiply
    937.59x = 1,296.32 × 820.85
  4. Step 4: Simplify right side
    937.59x = 1,064,073.69
  5. Step 5: Solve for x
    x = 1,064,073.69/937.59
  6. Step 6: Final answer
    x = 1,134.90

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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.