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Finding the Fourth Proportional to 937.94, 1,296.07 and 813.20

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Solution

The fourth proportional to 937.94, 1,296.07 and 813.20 is: 1,123.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.94 : 1,296.07 = 813.20 : x
  2. Step 2: Convert to fraction form
    937.94/1,296.07 = 813.20/x
  3. Step 3: Cross multiply
    937.94x = 1,296.07 × 813.20
  4. Step 4: Simplify right side
    937.94x = 1,053,955.61
  5. Step 5: Solve for x
    x = 1,053,955.61/937.94
  6. Step 6: Final answer
    x = 1,123.70

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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.