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Finding the Fourth Proportional to 587.62, 881.31 and 171.12

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Solution

The fourth proportional to 587.62, 881.31 and 171.12 is: 256.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.62 : 881.31 = 171.12 : x
  2. Step 2: Convert to fraction form
    587.62/881.31 = 171.12/x
  3. Step 3: Cross multiply
    587.62x = 881.31 × 171.12
  4. Step 4: Simplify right side
    587.62x = 150,809.13
  5. Step 5: Solve for x
    x = 150,809.13/587.62
  6. Step 6: Final answer
    x = 256.65

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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.