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Finding the Fourth Proportional to 564.55, 779.31 and 343.57

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Solution

The fourth proportional to 564.55, 779.31 and 343.57 is: 474.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.55 : 779.31 = 343.57 : x
  2. Step 2: Convert to fraction form
    564.55/779.31 = 343.57/x
  3. Step 3: Cross multiply
    564.55x = 779.31 × 343.57
  4. Step 4: Simplify right side
    564.55x = 267,743.64
  5. Step 5: Solve for x
    x = 267,743.64/564.55
  6. Step 6: Final answer
    x = 474.26

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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.