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Finding the Fourth Proportional to 433.20, 650.16 and 387.84

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Solution

The fourth proportional to 433.20, 650.16 and 387.84 is: 582.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.20 : 650.16 = 387.84 : x
  2. Step 2: Convert to fraction form
    433.20/650.16 = 387.84/x
  3. Step 3: Cross multiply
    433.20x = 650.16 × 387.84
  4. Step 4: Simplify right side
    433.20x = 252,158.05
  5. Step 5: Solve for x
    x = 252,158.05/433.20
  6. Step 6: Final answer
    x = 582.08

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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.