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Finding the Fourth Proportional to 419.97, 576.40 and 402.15

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Solution

The fourth proportional to 419.97, 576.40 and 402.15 is: 551.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.97 : 576.40 = 402.15 : x
  2. Step 2: Convert to fraction form
    419.97/576.40 = 402.15/x
  3. Step 3: Cross multiply
    419.97x = 576.40 × 402.15
  4. Step 4: Simplify right side
    419.97x = 231,799.26
  5. Step 5: Solve for x
    x = 231,799.26/419.97
  6. Step 6: Final answer
    x = 551.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.