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Finding the Fourth Proportional to 611.58, 844.14 and 401.41

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Solution

The fourth proportional to 611.58, 844.14 and 401.41 is: 554.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.58 : 844.14 = 401.41 : x
  2. Step 2: Convert to fraction form
    611.58/844.14 = 401.41/x
  3. Step 3: Cross multiply
    611.58x = 844.14 × 401.41
  4. Step 4: Simplify right side
    611.58x = 338,846.24
  5. Step 5: Solve for x
    x = 338,846.24/611.58
  6. Step 6: Final answer
    x = 554.05

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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.