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Finding the Fourth Proportional to 718.27, 1,076.31 and 328.04

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Solution

The fourth proportional to 718.27, 1,076.31 and 328.04 is: 491.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.27 : 1,076.31 = 328.04 : x
  2. Step 2: Convert to fraction form
    718.27/1,076.31 = 328.04/x
  3. Step 3: Cross multiply
    718.27x = 1,076.31 × 328.04
  4. Step 4: Simplify right side
    718.27x = 353,072.73
  5. Step 5: Solve for x
    x = 353,072.73/718.27
  6. Step 6: Final answer
    x = 491.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.