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Finding the Fourth Proportional to 976.68, 1,462.84 and 689.40

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Solution

The fourth proportional to 976.68, 1,462.84 and 689.40 is: 1,032.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.68 : 1,462.84 = 689.40 : x
  2. Step 2: Convert to fraction form
    976.68/1,462.84 = 689.40/x
  3. Step 3: Cross multiply
    976.68x = 1,462.84 × 689.40
  4. Step 4: Simplify right side
    976.68x = 1,008,481.90
  5. Step 5: Solve for x
    x = 1,008,481.90/976.68
  6. Step 6: Final answer
    x = 1,032.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.