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Finding the Fourth Proportional to 564.25, 778.67 and 331.51

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Solution

The fourth proportional to 564.25, 778.67 and 331.51 is: 457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.25 : 778.67 = 331.51 : x
  2. Step 2: Convert to fraction form
    564.25/778.67 = 331.51/x
  3. Step 3: Cross multiply
    564.25x = 778.67 × 331.51
  4. Step 4: Simplify right side
    564.25x = 258,136.89
  5. Step 5: Solve for x
    x = 258,136.89/564.25
  6. Step 6: Final answer
    x = 457.49

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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.