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Finding the Fourth Proportional to 552.74, 825.15 and 533.52

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Solution

The fourth proportional to 552.74, 825.15 and 533.52 is: 796.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.74 : 825.15 = 533.52 : x
  2. Step 2: Convert to fraction form
    552.74/825.15 = 533.52/x
  3. Step 3: Cross multiply
    552.74x = 825.15 × 533.52
  4. Step 4: Simplify right side
    552.74x = 440,234.03
  5. Step 5: Solve for x
    x = 440,234.03/552.74
  6. Step 6: Final answer
    x = 796.46

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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.