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Finding the Fourth Proportional to 863.42, 1,191.49 and 470.43

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Solution

The fourth proportional to 863.42, 1,191.49 and 470.43 is: 649.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.42 : 1,191.49 = 470.43 : x
  2. Step 2: Convert to fraction form
    863.42/1,191.49 = 470.43/x
  3. Step 3: Cross multiply
    863.42x = 1,191.49 × 470.43
  4. Step 4: Simplify right side
    863.42x = 560,512.64
  5. Step 5: Solve for x
    x = 560,512.64/863.42
  6. Step 6: Final answer
    x = 649.18

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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.