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Finding the Fourth Proportional to 401.41, 602.25 and 398.71

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Solution

The fourth proportional to 401.41, 602.25 and 398.71 is: 598.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.41 : 602.25 = 398.71 : x
  2. Step 2: Convert to fraction form
    401.41/602.25 = 398.71/x
  3. Step 3: Cross multiply
    401.41x = 602.25 × 398.71
  4. Step 4: Simplify right side
    401.41x = 240,123.10
  5. Step 5: Solve for x
    x = 240,123.10/401.41
  6. Step 6: Final answer
    x = 598.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.