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Finding the Fourth Proportional to 843.97, 1,164.68 and 465.88

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Solution

The fourth proportional to 843.97, 1,164.68 and 465.88 is: 642.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.97 : 1,164.68 = 465.88 : x
  2. Step 2: Convert to fraction form
    843.97/1,164.68 = 465.88/x
  3. Step 3: Cross multiply
    843.97x = 1,164.68 × 465.88
  4. Step 4: Simplify right side
    843.97x = 542,601.12
  5. Step 5: Solve for x
    x = 542,601.12/843.97
  6. Step 6: Final answer
    x = 642.92

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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.