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Finding the Fourth Proportional to 976.10, 1,455.09 and 961.11

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Solution

The fourth proportional to 976.10, 1,455.09 and 961.11 is: 1,432.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.10 : 1,455.09 = 961.11 : x
  2. Step 2: Convert to fraction form
    976.10/1,455.09 = 961.11/x
  3. Step 3: Cross multiply
    976.10x = 1,455.09 × 961.11
  4. Step 4: Simplify right side
    976.10x = 1,398,501.55
  5. Step 5: Solve for x
    x = 1,398,501.55/976.10
  6. Step 6: Final answer
    x = 1,432.75

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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.