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Finding the Fourth Proportional to 865.65, 1,194.25 and 487.45

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Solution

The fourth proportional to 865.65, 1,194.25 and 487.45 is: 672.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.65 : 1,194.25 = 487.45 : x
  2. Step 2: Convert to fraction form
    865.65/1,194.25 = 487.45/x
  3. Step 3: Cross multiply
    865.65x = 1,194.25 × 487.45
  4. Step 4: Simplify right side
    865.65x = 582,137.16
  5. Step 5: Solve for x
    x = 582,137.16/865.65
  6. Step 6: Final answer
    x = 672.49

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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.