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Finding the Fourth Proportional to 409.69, 616.85 and 361.25

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Solution

The fourth proportional to 409.69, 616.85 and 361.25 is: 543.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.69 : 616.85 = 361.25 : x
  2. Step 2: Convert to fraction form
    409.69/616.85 = 361.25/x
  3. Step 3: Cross multiply
    409.69x = 616.85 × 361.25
  4. Step 4: Simplify right side
    409.69x = 222,834.49
  5. Step 5: Solve for x
    x = 222,834.49/409.69
  6. Step 6: Final answer
    x = 543.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.