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Finding the Fourth Proportional to 863.32, 1,299.69 and 786.78

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Solution

The fourth proportional to 863.32, 1,299.69 and 786.78 is: 1,184.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.32 : 1,299.69 = 786.78 : x
  2. Step 2: Convert to fraction form
    863.32/1,299.69 = 786.78/x
  3. Step 3: Cross multiply
    863.32x = 1,299.69 × 786.78
  4. Step 4: Simplify right side
    863.32x = 1,022,570.10
  5. Step 5: Solve for x
    x = 1,022,570.10/863.32
  6. Step 6: Final answer
    x = 1,184.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.