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Finding the Fourth Proportional to 843.85, 1,164.06 and 686.65

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Solution

The fourth proportional to 843.85, 1,164.06 and 686.65 is: 947.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.85 : 1,164.06 = 686.65 : x
  2. Step 2: Convert to fraction form
    843.85/1,164.06 = 686.65/x
  3. Step 3: Cross multiply
    843.85x = 1,164.06 × 686.65
  4. Step 4: Simplify right side
    843.85x = 799,306.43
  5. Step 5: Solve for x
    x = 799,306.43/843.85
  6. Step 6: Final answer
    x = 947.22

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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.