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Finding the Fourth Proportional to 564.51, 778.22 and 398.21

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Solution

The fourth proportional to 564.51, 778.22 and 398.21 is: 548.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.51 : 778.22 = 398.21 : x
  2. Step 2: Convert to fraction form
    564.51/778.22 = 398.21/x
  3. Step 3: Cross multiply
    564.51x = 778.22 × 398.21
  4. Step 4: Simplify right side
    564.51x = 309,894.99
  5. Step 5: Solve for x
    x = 309,894.99/564.51
  6. Step 6: Final answer
    x = 548.96

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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.