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Finding the Fourth Proportional to 843.01, 1,164.17 and 655.90

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Solution

The fourth proportional to 843.01, 1,164.17 and 655.90 is: 905.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.01 : 1,164.17 = 655.90 : x
  2. Step 2: Convert to fraction form
    843.01/1,164.17 = 655.90/x
  3. Step 3: Cross multiply
    843.01x = 1,164.17 × 655.90
  4. Step 4: Simplify right side
    843.01x = 763,577.83
  5. Step 5: Solve for x
    x = 763,577.83/843.01
  6. Step 6: Final answer
    x = 905.78

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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.