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Finding the Fourth Proportional to 863.28, 1,188.54 and 688.32

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Solution

The fourth proportional to 863.28, 1,188.54 and 688.32 is: 947.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.28 : 1,188.54 = 688.32 : x
  2. Step 2: Convert to fraction form
    863.28/1,188.54 = 688.32/x
  3. Step 3: Cross multiply
    863.28x = 1,188.54 × 688.32
  4. Step 4: Simplify right side
    863.28x = 818,095.85
  5. Step 5: Solve for x
    x = 818,095.85/863.28
  6. Step 6: Final answer
    x = 947.66

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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.