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Finding the Fourth Proportional to 564.54, 779.12 and 520.43

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Solution

The fourth proportional to 564.54, 779.12 and 520.43 is: 718.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.54 : 779.12 = 520.43 : x
  2. Step 2: Convert to fraction form
    564.54/779.12 = 520.43/x
  3. Step 3: Cross multiply
    564.54x = 779.12 × 520.43
  4. Step 4: Simplify right side
    564.54x = 405,470.92
  5. Step 5: Solve for x
    x = 405,470.92/564.54
  6. Step 6: Final answer
    x = 718.23

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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.