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Finding the Fourth Proportional to 408.12, 608.79 and 383.28

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Solution

The fourth proportional to 408.12, 608.79 and 383.28 is: 571.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.12 : 608.79 = 383.28 : x
  2. Step 2: Convert to fraction form
    408.12/608.79 = 383.28/x
  3. Step 3: Cross multiply
    408.12x = 608.79 × 383.28
  4. Step 4: Simplify right side
    408.12x = 233,337.03
  5. Step 5: Solve for x
    x = 233,337.03/408.12
  6. Step 6: Final answer
    x = 571.74

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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.