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Finding the Fourth Proportional to 409, 610.97 and 336.52

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Solution

The fourth proportional to 409, 610.97 and 336.52 is: 502.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    409 : 610.97 = 336.52 : x
  2. Step 2: Convert to fraction form
    409/610.97 = 336.52/x
  3. Step 3: Cross multiply
    409x = 610.97 × 336.52
  4. Step 4: Simplify right side
    409x = 205,603.62
  5. Step 5: Solve for x
    x = 205,603.62/409
  6. Step 6: Final answer
    x = 502.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.