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Finding the Fourth Proportional to 564, 777.96 and 331.20

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Solution

The fourth proportional to 564, 777.96 and 331.20 is: 456.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    564 : 777.96 = 331.20 : x
  2. Step 2: Convert to fraction form
    564/777.96 = 331.20/x
  3. Step 3: Cross multiply
    564x = 777.96 × 331.20
  4. Step 4: Simplify right side
    564x = 257,660.35
  5. Step 5: Solve for x
    x = 257,660.35/564
  6. Step 6: Final answer
    x = 456.84

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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.