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Finding the Fourth Proportional to 564.74, 779.42 and 343.65

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Solution

The fourth proportional to 564.74, 779.42 and 343.65 is: 474.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.74 : 779.42 = 343.65 : x
  2. Step 2: Convert to fraction form
    564.74/779.42 = 343.65/x
  3. Step 3: Cross multiply
    564.74x = 779.42 × 343.65
  4. Step 4: Simplify right side
    564.74x = 267,847.08
  5. Step 5: Solve for x
    x = 267,847.08/564.74
  6. Step 6: Final answer
    x = 474.28

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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.