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Finding the Fourth Proportional to 587.82, 881.85 and 327.98

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Solution

The fourth proportional to 587.82, 881.85 and 327.98 is: 492.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.82 : 881.85 = 327.98 : x
  2. Step 2: Convert to fraction form
    587.82/881.85 = 327.98/x
  3. Step 3: Cross multiply
    587.82x = 881.85 × 327.98
  4. Step 4: Simplify right side
    587.82x = 289,232.60
  5. Step 5: Solve for x
    x = 289,232.60/587.82
  6. Step 6: Final answer
    x = 492.04

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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.