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Finding the Fourth Proportional to 865.18, 1,194.93 and 732.79

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Solution

The fourth proportional to 865.18, 1,194.93 and 732.79 is: 1,012.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.18 : 1,194.93 = 732.79 : x
  2. Step 2: Convert to fraction form
    865.18/1,194.93 = 732.79/x
  3. Step 3: Cross multiply
    865.18x = 1,194.93 × 732.79
  4. Step 4: Simplify right side
    865.18x = 875,632.75
  5. Step 5: Solve for x
    x = 875,632.75/865.18
  6. Step 6: Final answer
    x = 1,012.08

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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.