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Finding the Fourth Proportional to 863.12, 1,191.11 and 470.13

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Solution

The fourth proportional to 863.12, 1,191.11 and 470.13 is: 648.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.12 : 1,191.11 = 470.13 : x
  2. Step 2: Convert to fraction form
    863.12/1,191.11 = 470.13/x
  3. Step 3: Cross multiply
    863.12x = 1,191.11 × 470.13
  4. Step 4: Simplify right side
    863.12x = 559,974.19
  5. Step 5: Solve for x
    x = 559,974.19/863.12
  6. Step 6: Final answer
    x = 648.78

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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.