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Finding the Fourth Proportional to 760.12, 1,139.82 and 327.04

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Solution

The fourth proportional to 760.12, 1,139.82 and 327.04 is: 490.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.12 : 1,139.82 = 327.04 : x
  2. Step 2: Convert to fraction form
    760.12/1,139.82 = 327.04/x
  3. Step 3: Cross multiply
    760.12x = 1,139.82 × 327.04
  4. Step 4: Simplify right side
    760.12x = 372,766.73
  5. Step 5: Solve for x
    x = 372,766.73/760.12
  6. Step 6: Final answer
    x = 490.41

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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.