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Finding the Fourth Proportional to 568.56, 851.46 and 405.48

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Solution

The fourth proportional to 568.56, 851.46 and 405.48 is: 607.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.56 : 851.46 = 405.48 : x
  2. Step 2: Convert to fraction form
    568.56/851.46 = 405.48/x
  3. Step 3: Cross multiply
    568.56x = 851.46 × 405.48
  4. Step 4: Simplify right side
    568.56x = 345,250.00
  5. Step 5: Solve for x
    x = 345,250.00/568.56
  6. Step 6: Final answer
    x = 607.24

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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.