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Finding the Fourth Proportional to 866.42, 1,195.65 and 493.40

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Solution

The fourth proportional to 866.42, 1,195.65 and 493.40 is: 680.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.42 : 1,195.65 = 493.40 : x
  2. Step 2: Convert to fraction form
    866.42/1,195.65 = 493.40/x
  3. Step 3: Cross multiply
    866.42x = 1,195.65 × 493.40
  4. Step 4: Simplify right side
    866.42x = 589,927.73
  5. Step 5: Solve for x
    x = 589,927.73/866.42
  6. Step 6: Final answer
    x = 680.88

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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.