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Finding the Fourth Proportional to 815.46, 1,132.88 and 807.88

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Solution

The fourth proportional to 815.46, 1,132.88 and 807.88 is: 1,122.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.46 : 1,132.88 = 807.88 : x
  2. Step 2: Convert to fraction form
    815.46/1,132.88 = 807.88/x
  3. Step 3: Cross multiply
    815.46x = 1,132.88 × 807.88
  4. Step 4: Simplify right side
    815.46x = 915,231.09
  5. Step 5: Solve for x
    x = 915,231.09/815.46
  6. Step 6: Final answer
    x = 1,122.35

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.