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Finding the Fourth Proportional to 415.35, 569.45 and 408.97

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Solution

The fourth proportional to 415.35, 569.45 and 408.97 is: 560.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.35 : 569.45 = 408.97 : x
  2. Step 2: Convert to fraction form
    415.35/569.45 = 408.97/x
  3. Step 3: Cross multiply
    415.35x = 569.45 × 408.97
  4. Step 4: Simplify right side
    415.35x = 232,887.97
  5. Step 5: Solve for x
    x = 232,887.97/415.35
  6. Step 6: Final answer
    x = 560.70

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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.