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Finding the Fourth Proportional to 718.12, 1,076.37 and 327.70

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Solution

The fourth proportional to 718.12, 1,076.37 and 327.70 is: 491.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.12 : 1,076.37 = 327.70 : x
  2. Step 2: Convert to fraction form
    718.12/1,076.37 = 327.70/x
  3. Step 3: Cross multiply
    718.12x = 1,076.37 × 327.70
  4. Step 4: Simplify right side
    718.12x = 352,726.45
  5. Step 5: Solve for x
    x = 352,726.45/718.12
  6. Step 6: Final answer
    x = 491.18

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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.