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Finding the Fourth Proportional to 564.28, 778.66 and 331.40

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Solution

The fourth proportional to 564.28, 778.66 and 331.40 is: 457.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.28 : 778.66 = 331.40 : x
  2. Step 2: Convert to fraction form
    564.28/778.66 = 331.40/x
  3. Step 3: Cross multiply
    564.28x = 778.66 × 331.40
  4. Step 4: Simplify right side
    564.28x = 258,047.92
  5. Step 5: Solve for x
    x = 258,047.92/564.28
  6. Step 6: Final answer
    x = 457.30

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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.