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Finding the Fourth Proportional to 564.77, 847.16 and 153.90

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Solution

The fourth proportional to 564.77, 847.16 and 153.90 is: 230.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.77 : 847.16 = 153.90 : x
  2. Step 2: Convert to fraction form
    564.77/847.16 = 153.90/x
  3. Step 3: Cross multiply
    564.77x = 847.16 × 153.90
  4. Step 4: Simplify right side
    564.77x = 130,377.73
  5. Step 5: Solve for x
    x = 130,377.73/564.77
  6. Step 6: Final answer
    x = 230.85

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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.