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Finding the Fourth Proportional to 450.24, 621.12 and 385.44

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Solution

The fourth proportional to 450.24, 621.12 and 385.44 is: 531.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.24 : 621.12 = 385.44 : x
  2. Step 2: Convert to fraction form
    450.24/621.12 = 385.44/x
  3. Step 3: Cross multiply
    450.24x = 621.12 × 385.44
  4. Step 4: Simplify right side
    450.24x = 239,404.49
  5. Step 5: Solve for x
    x = 239,404.49/450.24
  6. Step 6: Final answer
    x = 531.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.