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Finding the Fourth Proportional to 976.33, 1,345.85 and 865.09

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Solution

The fourth proportional to 976.33, 1,345.85 and 865.09 is: 1,192.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.33 : 1,345.85 = 865.09 : x
  2. Step 2: Convert to fraction form
    976.33/1,345.85 = 865.09/x
  3. Step 3: Cross multiply
    976.33x = 1,345.85 × 865.09
  4. Step 4: Simplify right side
    976.33x = 1,164,277.05
  5. Step 5: Solve for x
    x = 1,164,277.05/976.33
  6. Step 6: Final answer
    x = 1,192.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.