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Finding the Fourth Proportional to 404, 601.72 and 383.44

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Solution

The fourth proportional to 404, 601.72 and 383.44 is: 571.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    404 : 601.72 = 383.44 : x
  2. Step 2: Convert to fraction form
    404/601.72 = 383.44/x
  3. Step 3: Cross multiply
    404x = 601.72 × 383.44
  4. Step 4: Simplify right side
    404x = 230,723.52
  5. Step 5: Solve for x
    x = 230,723.52/404
  6. Step 6: Final answer
    x = 571.10

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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.