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Finding the Fourth Proportional to 863.56, 1,190.82 and 642.52

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Solution

The fourth proportional to 863.56, 1,190.82 and 642.52 is: 886.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.56 : 1,190.82 = 642.52 : x
  2. Step 2: Convert to fraction form
    863.56/1,190.82 = 642.52/x
  3. Step 3: Cross multiply
    863.56x = 1,190.82 × 642.52
  4. Step 4: Simplify right side
    863.56x = 765,125.67
  5. Step 5: Solve for x
    x = 765,125.67/863.56
  6. Step 6: Final answer
    x = 886.01

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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.