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Finding the Fourth Proportional to 433.80, 651.18 and 388.44

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Solution

The fourth proportional to 433.80, 651.18 and 388.44 is: 583.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.80 : 651.18 = 388.44 : x
  2. Step 2: Convert to fraction form
    433.80/651.18 = 388.44/x
  3. Step 3: Cross multiply
    433.80x = 651.18 × 388.44
  4. Step 4: Simplify right side
    433.80x = 252,944.36
  5. Step 5: Solve for x
    x = 252,944.36/433.80
  6. Step 6: Final answer
    x = 583.09

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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.