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Finding the Fourth Proportional to 863.19, 1,191.21 and 470.21

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Solution

The fourth proportional to 863.19, 1,191.21 and 470.21 is: 648.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.19 : 1,191.21 = 470.21 : x
  2. Step 2: Convert to fraction form
    863.19/1,191.21 = 470.21/x
  3. Step 3: Cross multiply
    863.19x = 1,191.21 × 470.21
  4. Step 4: Simplify right side
    863.19x = 560,112.90
  5. Step 5: Solve for x
    x = 560,112.90/863.19
  6. Step 6: Final answer
    x = 648.89

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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.