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Finding the Fourth Proportional to 840, 1,260 and 327.04

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Solution

The fourth proportional to 840, 1,260 and 327.04 is: 490.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    840 : 1,260 = 327.04 : x
  2. Step 2: Convert to fraction form
    840/1,260 = 327.04/x
  3. Step 3: Cross multiply
    840x = 1,260 × 327.04
  4. Step 4: Simplify right side
    840x = 412,070.40
  5. Step 5: Solve for x
    x = 412,070.40/840
  6. Step 6: Final answer
    x = 490.56

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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.