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Finding the Fourth Proportional to 845.49, 1,265.27 and 731.37

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Solution

The fourth proportional to 845.49, 1,265.27 and 731.37 is: 1,094.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.49 : 1,265.27 = 731.37 : x
  2. Step 2: Convert to fraction form
    845.49/1,265.27 = 731.37/x
  3. Step 3: Cross multiply
    845.49x = 1,265.27 × 731.37
  4. Step 4: Simplify right side
    845.49x = 925,376.86
  5. Step 5: Solve for x
    x = 925,376.86/845.49
  6. Step 6: Final answer
    x = 1,094.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.