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Finding the Fourth Proportional to 411, 611.67 and 401.88

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Solution

The fourth proportional to 411, 611.67 and 401.88 is: 598.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    411 : 611.67 = 401.88 : x
  2. Step 2: Convert to fraction form
    411/611.67 = 401.88/x
  3. Step 3: Cross multiply
    411x = 611.67 × 401.88
  4. Step 4: Simplify right side
    411x = 245,817.94
  5. Step 5: Solve for x
    x = 245,817.94/411
  6. Step 6: Final answer
    x = 598.10

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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.