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Finding the Fourth Proportional to 564.68, 847.10 and 174.71

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Solution

The fourth proportional to 564.68, 847.10 and 174.71 is: 262.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.68 : 847.10 = 174.71 : x
  2. Step 2: Convert to fraction form
    564.68/847.10 = 174.71/x
  3. Step 3: Cross multiply
    564.68x = 847.10 × 174.71
  4. Step 4: Simplify right side
    564.68x = 147,996.84
  5. Step 5: Solve for x
    x = 147,996.84/564.68
  6. Step 6: Final answer
    x = 262.09

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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.