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Finding the Fourth Proportional to 552.49, 828.48 and 321.44

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Solution

The fourth proportional to 552.49, 828.48 and 321.44 is: 482.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.49 : 828.48 = 321.44 : x
  2. Step 2: Convert to fraction form
    552.49/828.48 = 321.44/x
  3. Step 3: Cross multiply
    552.49x = 828.48 × 321.44
  4. Step 4: Simplify right side
    552.49x = 266,307.48
  5. Step 5: Solve for x
    x = 266,307.48/552.49
  6. Step 6: Final answer
    x = 482.02

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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.