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Finding the Fourth Proportional to 564.54, 779.14 and 343.55

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Solution

The fourth proportional to 564.54, 779.14 and 343.55 is: 474.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.54 : 779.14 = 343.55 : x
  2. Step 2: Convert to fraction form
    564.54/779.14 = 343.55/x
  3. Step 3: Cross multiply
    564.54x = 779.14 × 343.55
  4. Step 4: Simplify right side
    564.54x = 267,675.92
  5. Step 5: Solve for x
    x = 267,675.92/564.54
  6. Step 6: Final answer
    x = 474.15

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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.