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Finding the Fourth Proportional to 694.80, 1,037.97 and 540.36

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Solution

The fourth proportional to 694.80, 1,037.97 and 540.36 is: 807.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.80 : 1,037.97 = 540.36 : x
  2. Step 2: Convert to fraction form
    694.80/1,037.97 = 540.36/x
  3. Step 3: Cross multiply
    694.80x = 1,037.97 × 540.36
  4. Step 4: Simplify right side
    694.80x = 560,877.47
  5. Step 5: Solve for x
    x = 560,877.47/694.80
  6. Step 6: Final answer
    x = 807.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.