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Finding the Fourth Proportional to 412.39, 565.85 and 408.52

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Solution

The fourth proportional to 412.39, 565.85 and 408.52 is: 560.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.39 : 565.85 = 408.52 : x
  2. Step 2: Convert to fraction form
    412.39/565.85 = 408.52/x
  3. Step 3: Cross multiply
    412.39x = 565.85 × 408.52
  4. Step 4: Simplify right side
    412.39x = 231,156.17
  5. Step 5: Solve for x
    x = 231,156.17/412.39
  6. Step 6: Final answer
    x = 560.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.