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Finding the Fourth Proportional to 845.18, 1,167.78 and 815.61

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Solution

The fourth proportional to 845.18, 1,167.78 and 815.61 is: 1,126.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.18 : 1,167.78 = 815.61 : x
  2. Step 2: Convert to fraction form
    845.18/1,167.78 = 815.61/x
  3. Step 3: Cross multiply
    845.18x = 1,167.78 × 815.61
  4. Step 4: Simplify right side
    845.18x = 952,453.05
  5. Step 5: Solve for x
    x = 952,453.05/845.18
  6. Step 6: Final answer
    x = 1,126.93

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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.