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Finding the Fourth Proportional to 976.87, 1,456.03 and 950.91

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Solution

The fourth proportional to 976.87, 1,456.03 and 950.91 is: 1,417.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.87 : 1,456.03 = 950.91 : x
  2. Step 2: Convert to fraction form
    976.87/1,456.03 = 950.91/x
  3. Step 3: Cross multiply
    976.87x = 1,456.03 × 950.91
  4. Step 4: Simplify right side
    976.87x = 1,384,553.49
  5. Step 5: Solve for x
    x = 1,384,553.49/976.87
  6. Step 6: Final answer
    x = 1,417.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.