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Finding the Fourth Proportional to 976.11, 1,465.79 and 968.55

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Solution

The fourth proportional to 976.11, 1,465.79 and 968.55 is: 1,454.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.11 : 1,465.79 = 968.55 : x
  2. Step 2: Convert to fraction form
    976.11/1,465.79 = 968.55/x
  3. Step 3: Cross multiply
    976.11x = 1,465.79 × 968.55
  4. Step 4: Simplify right side
    976.11x = 1,419,690.90
  5. Step 5: Solve for x
    x = 1,419,690.90/976.11
  6. Step 6: Final answer
    x = 1,454.44

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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.