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Finding the Fourth Proportional to 412.01, 616.49 and 381.33

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Solution

The fourth proportional to 412.01, 616.49 and 381.33 is: 570.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.01 : 616.49 = 381.33 : x
  2. Step 2: Convert to fraction form
    412.01/616.49 = 381.33/x
  3. Step 3: Cross multiply
    412.01x = 616.49 × 381.33
  4. Step 4: Simplify right side
    412.01x = 235,086.13
  5. Step 5: Solve for x
    x = 235,086.13/412.01
  6. Step 6: Final answer
    x = 570.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.