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Finding the Fourth Proportional to 565.29, 779.27 and 425.42

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Solution

The fourth proportional to 565.29, 779.27 and 425.42 is: 586.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.29 : 779.27 = 425.42 : x
  2. Step 2: Convert to fraction form
    565.29/779.27 = 425.42/x
  3. Step 3: Cross multiply
    565.29x = 779.27 × 425.42
  4. Step 4: Simplify right side
    565.29x = 331,517.04
  5. Step 5: Solve for x
    x = 331,517.04/565.29
  6. Step 6: Final answer
    x = 586.45

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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.