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Finding the Fourth Proportional to 976.08, 1,342.80 and 863.46

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Solution

The fourth proportional to 976.08, 1,342.80 and 863.46 is: 1,187.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.08 : 1,342.80 = 863.46 : x
  2. Step 2: Convert to fraction form
    976.08/1,342.80 = 863.46/x
  3. Step 3: Cross multiply
    976.08x = 1,342.80 × 863.46
  4. Step 4: Simplify right side
    976.08x = 1,159,454.09
  5. Step 5: Solve for x
    x = 1,159,454.09/976.08
  6. Step 6: Final answer
    x = 1,187.87

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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.