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Finding the Fourth Proportional to 866.54, 1,195.72 and 493.48

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Solution

The fourth proportional to 866.54, 1,195.72 and 493.48 is: 680.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.54 : 1,195.72 = 493.48 : x
  2. Step 2: Convert to fraction form
    866.54/1,195.72 = 493.48/x
  3. Step 3: Cross multiply
    866.54x = 1,195.72 × 493.48
  4. Step 4: Simplify right side
    866.54x = 590,063.91
  5. Step 5: Solve for x
    x = 590,063.91/866.54
  6. Step 6: Final answer
    x = 680.94

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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.