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Finding the Fourth Proportional to 1,013.64, 1,399.82 and 699.71

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Solution

The fourth proportional to 1,013.64, 1,399.82 and 699.71 is: 966.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.64 : 1,399.82 = 699.71 : x
  2. Step 2: Convert to fraction form
    1,013.64/1,399.82 = 699.71/x
  3. Step 3: Cross multiply
    1,013.64x = 1,399.82 × 699.71
  4. Step 4: Simplify right side
    1,013.64x = 979,468.05
  5. Step 5: Solve for x
    x = 979,468.05/1,013.64
  6. Step 6: Final answer
    x = 966.29

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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.