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Finding the Fourth Proportional to 587.97, 882.09 and 177.15

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Solution

The fourth proportional to 587.97, 882.09 and 177.15 is: 265.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.97 : 882.09 = 177.15 : x
  2. Step 2: Convert to fraction form
    587.97/882.09 = 177.15/x
  3. Step 3: Cross multiply
    587.97x = 882.09 × 177.15
  4. Step 4: Simplify right side
    587.97x = 156,262.24
  5. Step 5: Solve for x
    x = 156,262.24/587.97
  6. Step 6: Final answer
    x = 265.77

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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.