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Finding the Fourth Proportional to 564.86, 779.46 and 343.77

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Solution

The fourth proportional to 564.86, 779.46 and 343.77 is: 474.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.86 : 779.46 = 343.77 : x
  2. Step 2: Convert to fraction form
    564.86/779.46 = 343.77/x
  3. Step 3: Cross multiply
    564.86x = 779.46 × 343.77
  4. Step 4: Simplify right side
    564.86x = 267,954.39
  5. Step 5: Solve for x
    x = 267,954.39/564.86
  6. Step 6: Final answer
    x = 474.37

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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.