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Finding the Fourth Proportional to 564.88, 847.17 and 174.77

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Solution

The fourth proportional to 564.88, 847.17 and 174.77 is: 262.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.88 : 847.17 = 174.77 : x
  2. Step 2: Convert to fraction form
    564.88/847.17 = 174.77/x
  3. Step 3: Cross multiply
    564.88x = 847.17 × 174.77
  4. Step 4: Simplify right side
    564.88x = 148,059.90
  5. Step 5: Solve for x
    x = 148,059.90/564.88
  6. Step 6: Final answer
    x = 262.11

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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.