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Finding the Fourth Proportional to 409.43, 610.48 and 402.14

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Solution

The fourth proportional to 409.43, 610.48 and 402.14 is: 599.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.43 : 610.48 = 402.14 : x
  2. Step 2: Convert to fraction form
    409.43/610.48 = 402.14/x
  3. Step 3: Cross multiply
    409.43x = 610.48 × 402.14
  4. Step 4: Simplify right side
    409.43x = 245,496.42
  5. Step 5: Solve for x
    x = 245,496.42/409.43
  6. Step 6: Final answer
    x = 599.61

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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.