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Finding the Fourth Proportional to 587.05, 880.61 and 327.04

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Solution

The fourth proportional to 587.05, 880.61 and 327.04 is: 490.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.05 : 880.61 = 327.04 : x
  2. Step 2: Convert to fraction form
    587.05/880.61 = 327.04/x
  3. Step 3: Cross multiply
    587.05x = 880.61 × 327.04
  4. Step 4: Simplify right side
    587.05x = 287,990.86
  5. Step 5: Solve for x
    x = 287,990.86/587.05
  6. Step 6: Final answer
    x = 490.58

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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.