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Finding the Fourth Proportional to 565.52, 780.29 and 408.38

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Solution

The fourth proportional to 565.52, 780.29 and 408.38 is: 563.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.52 : 780.29 = 408.38 : x
  2. Step 2: Convert to fraction form
    565.52/780.29 = 408.38/x
  3. Step 3: Cross multiply
    565.52x = 780.29 × 408.38
  4. Step 4: Simplify right side
    565.52x = 318,654.83
  5. Step 5: Solve for x
    x = 318,654.83/565.52
  6. Step 6: Final answer
    x = 563.47

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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.