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Finding the Fourth Proportional to 865.98, 1,195.20 and 493.16

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Solution

The fourth proportional to 865.98, 1,195.20 and 493.16 is: 680.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.98 : 1,195.20 = 493.16 : x
  2. Step 2: Convert to fraction form
    865.98/1,195.20 = 493.16/x
  3. Step 3: Cross multiply
    865.98x = 1,195.20 × 493.16
  4. Step 4: Simplify right side
    865.98x = 589,418.86
  5. Step 5: Solve for x
    x = 589,418.86/865.98
  6. Step 6: Final answer
    x = 680.64

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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.