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Finding the Fourth Proportional to 865.25, 1,298.33 and 661.13

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Solution

The fourth proportional to 865.25, 1,298.33 and 661.13 is: 992.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.25 : 1,298.33 = 661.13 : x
  2. Step 2: Convert to fraction form
    865.25/1,298.33 = 661.13/x
  3. Step 3: Cross multiply
    865.25x = 1,298.33 × 661.13
  4. Step 4: Simplify right side
    865.25x = 858,355.12
  5. Step 5: Solve for x
    x = 858,355.12/865.25
  6. Step 6: Final answer
    x = 992.04

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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.