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Finding the Fourth Proportional to 565.71, 779.94 and 408.57

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Solution

The fourth proportional to 565.71, 779.94 and 408.57 is: 563.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.71 : 779.94 = 408.57 : x
  2. Step 2: Convert to fraction form
    565.71/779.94 = 408.57/x
  3. Step 3: Cross multiply
    565.71x = 779.94 × 408.57
  4. Step 4: Simplify right side
    565.71x = 318,660.09
  5. Step 5: Solve for x
    x = 318,660.09/565.71
  6. Step 6: Final answer
    x = 563.29

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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.