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Finding the Fourth Proportional to 564.68, 778.87 and 518.22

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Solution

The fourth proportional to 564.68, 778.87 and 518.22 is: 714.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.68 : 778.87 = 518.22 : x
  2. Step 2: Convert to fraction form
    564.68/778.87 = 518.22/x
  3. Step 3: Cross multiply
    564.68x = 778.87 × 518.22
  4. Step 4: Simplify right side
    564.68x = 403,626.01
  5. Step 5: Solve for x
    x = 403,626.01/564.68
  6. Step 6: Final answer
    x = 714.79

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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.