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Finding the Fourth Proportional to 564.23, 778.61 and 328.17

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Solution

The fourth proportional to 564.23, 778.61 and 328.17 is: 452.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.23 : 778.61 = 328.17 : x
  2. Step 2: Convert to fraction form
    564.23/778.61 = 328.17/x
  3. Step 3: Cross multiply
    564.23x = 778.61 × 328.17
  4. Step 4: Simplify right side
    564.23x = 255,516.44
  5. Step 5: Solve for x
    x = 255,516.44/564.23
  6. Step 6: Final answer
    x = 452.86

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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.