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Finding the Fourth Proportional to 564.52, 779.12 and 343.60

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Solution

The fourth proportional to 564.52, 779.12 and 343.60 is: 474.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.52 : 779.12 = 343.60 : x
  2. Step 2: Convert to fraction form
    564.52/779.12 = 343.60/x
  3. Step 3: Cross multiply
    564.52x = 779.12 × 343.60
  4. Step 4: Simplify right side
    564.52x = 267,705.63
  5. Step 5: Solve for x
    x = 267,705.63/564.52
  6. Step 6: Final answer
    x = 474.22

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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.