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Finding the Fourth Proportional to 976.05, 1,463.87 and 686.17

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Solution

The fourth proportional to 976.05, 1,463.87 and 686.17 is: 1,029.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.05 : 1,463.87 = 686.17 : x
  2. Step 2: Convert to fraction form
    976.05/1,463.87 = 686.17/x
  3. Step 3: Cross multiply
    976.05x = 1,463.87 × 686.17
  4. Step 4: Simplify right side
    976.05x = 1,004,467.22
  5. Step 5: Solve for x
    x = 1,004,467.22/976.05
  6. Step 6: Final answer
    x = 1,029.11

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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.