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Finding the Fourth Proportional to 863.20, 1,189.92 and 688.24

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Solution

The fourth proportional to 863.20, 1,189.92 and 688.24 is: 948.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.20 : 1,189.92 = 688.24 : x
  2. Step 2: Convert to fraction form
    863.20/1,189.92 = 688.24/x
  3. Step 3: Cross multiply
    863.20x = 1,189.92 × 688.24
  4. Step 4: Simplify right side
    863.20x = 818,950.54
  5. Step 5: Solve for x
    x = 818,950.54/863.20
  6. Step 6: Final answer
    x = 948.74

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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.