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Finding the Fourth Proportional to 866.45, 1,195.71 and 493.46

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Solution

The fourth proportional to 866.45, 1,195.71 and 493.46 is: 680.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.45 : 1,195.71 = 493.46 : x
  2. Step 2: Convert to fraction form
    866.45/1,195.71 = 493.46/x
  3. Step 3: Cross multiply
    866.45x = 1,195.71 × 493.46
  4. Step 4: Simplify right side
    866.45x = 590,029.08
  5. Step 5: Solve for x
    x = 590,029.08/866.45
  6. Step 6: Final answer
    x = 680.97

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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.