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Finding the Fourth Proportional to 401.37, 605.49 and 389.09

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Solution

The fourth proportional to 401.37, 605.49 and 389.09 is: 586.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.37 : 605.49 = 389.09 : x
  2. Step 2: Convert to fraction form
    401.37/605.49 = 389.09/x
  3. Step 3: Cross multiply
    401.37x = 605.49 × 389.09
  4. Step 4: Simplify right side
    401.37x = 235,587.08
  5. Step 5: Solve for x
    x = 235,587.08/401.37
  6. Step 6: Final answer
    x = 586.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.