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Finding the Fourth Proportional to 1,013.43, 1,393.49 and 865.80

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Solution

The fourth proportional to 1,013.43, 1,393.49 and 865.80 is: 1,190.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.43 : 1,393.49 = 865.80 : x
  2. Step 2: Convert to fraction form
    1,013.43/1,393.49 = 865.80/x
  3. Step 3: Cross multiply
    1,013.43x = 1,393.49 × 865.80
  4. Step 4: Simplify right side
    1,013.43x = 1,206,479.31
  5. Step 5: Solve for x
    x = 1,206,479.31/1,013.43
  6. Step 6: Final answer
    x = 1,190.49

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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.