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Finding the Fourth Proportional to 564.97, 847.46 and 154.11

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Solution

The fourth proportional to 564.97, 847.46 and 154.11 is: 231.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.97 : 847.46 = 154.11 : x
  2. Step 2: Convert to fraction form
    564.97/847.46 = 154.11/x
  3. Step 3: Cross multiply
    564.97x = 847.46 × 154.11
  4. Step 4: Simplify right side
    564.97x = 130,602.06
  5. Step 5: Solve for x
    x = 130,602.06/564.97
  6. Step 6: Final answer
    x = 231.17

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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.