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Finding the Fourth Proportional to 409.18, 610.10 and 401.89

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Solution

The fourth proportional to 409.18, 610.10 and 401.89 is: 599.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.18 : 610.10 = 401.89 : x
  2. Step 2: Convert to fraction form
    409.18/610.10 = 401.89/x
  3. Step 3: Cross multiply
    409.18x = 610.10 × 401.89
  4. Step 4: Simplify right side
    409.18x = 245,193.09
  5. Step 5: Solve for x
    x = 245,193.09/409.18
  6. Step 6: Final answer
    x = 599.23

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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.