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Finding the Fourth Proportional to 401.94, 600.44 and 387.54

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Solution

The fourth proportional to 401.94, 600.44 and 387.54 is: 578.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.94 : 600.44 = 387.54 : x
  2. Step 2: Convert to fraction form
    401.94/600.44 = 387.54/x
  3. Step 3: Cross multiply
    401.94x = 600.44 × 387.54
  4. Step 4: Simplify right side
    401.94x = 232,692.58
  5. Step 5: Solve for x
    x = 232,692.58/401.94
  6. Step 6: Final answer
    x = 578.92

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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.