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Finding the Fourth Proportional to 564.33, 773.14 and 543.30

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Solution

The fourth proportional to 564.33, 773.14 and 543.30 is: 744.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.33 : 773.14 = 543.30 : x
  2. Step 2: Convert to fraction form
    564.33/773.14 = 543.30/x
  3. Step 3: Cross multiply
    564.33x = 773.14 × 543.30
  4. Step 4: Simplify right side
    564.33x = 420,046.96
  5. Step 5: Solve for x
    x = 420,046.96/564.33
  6. Step 6: Final answer
    x = 744.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.