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Finding the Fourth Proportional to 815.76, 1,126.04 and 728.28

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Solution

The fourth proportional to 815.76, 1,126.04 and 728.28 is: 1,005.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.76 : 1,126.04 = 728.28 : x
  2. Step 2: Convert to fraction form
    815.76/1,126.04 = 728.28/x
  3. Step 3: Cross multiply
    815.76x = 1,126.04 × 728.28
  4. Step 4: Simplify right side
    815.76x = 820,072.41
  5. Step 5: Solve for x
    x = 820,072.41/815.76
  6. Step 6: Final answer
    x = 1,005.29

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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.