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Finding the Fourth Proportional to 564.10, 778.34 and 331.10

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Solution

The fourth proportional to 564.10, 778.34 and 331.10 is: 456.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.10 : 778.34 = 331.10 : x
  2. Step 2: Convert to fraction form
    564.10/778.34 = 331.10/x
  3. Step 3: Cross multiply
    564.10x = 778.34 × 331.10
  4. Step 4: Simplify right side
    564.10x = 257,708.37
  5. Step 5: Solve for x
    x = 257,708.37/564.10
  6. Step 6: Final answer
    x = 456.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.