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Finding the Fourth Proportional to 864.11, 1,191.32 and 687.65

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Solution

The fourth proportional to 864.11, 1,191.32 and 687.65 is: 948.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.11 : 1,191.32 = 687.65 : x
  2. Step 2: Convert to fraction form
    864.11/1,191.32 = 687.65/x
  3. Step 3: Cross multiply
    864.11x = 1,191.32 × 687.65
  4. Step 4: Simplify right side
    864.11x = 819,201.80
  5. Step 5: Solve for x
    x = 819,201.80/864.11
  6. Step 6: Final answer
    x = 948.04

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1.5x scale

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.