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Finding the Fourth Proportional to 639.97, 882.81 and 419.14

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Solution

The fourth proportional to 639.97, 882.81 and 419.14 is: 578.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.97 : 882.81 = 419.14 : x
  2. Step 2: Convert to fraction form
    639.97/882.81 = 419.14/x
  3. Step 3: Cross multiply
    639.97x = 882.81 × 419.14
  4. Step 4: Simplify right side
    639.97x = 370,020.98
  5. Step 5: Solve for x
    x = 370,020.98/639.97
  6. Step 6: Final answer
    x = 578.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.