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Finding the Fourth Proportional to 611.02, 843.20 and 401.06

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Solution

The fourth proportional to 611.02, 843.20 and 401.06 is: 553.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.02 : 843.20 = 401.06 : x
  2. Step 2: Convert to fraction form
    611.02/843.20 = 401.06/x
  3. Step 3: Cross multiply
    611.02x = 843.20 × 401.06
  4. Step 4: Simplify right side
    611.02x = 338,173.79
  5. Step 5: Solve for x
    x = 338,173.79/611.02
  6. Step 6: Final answer
    x = 553.46

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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.