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Finding the Fourth Proportional to 552.90, 825.07 and 491.55

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Solution

The fourth proportional to 552.90, 825.07 and 491.55 is: 733.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.90 : 825.07 = 491.55 : x
  2. Step 2: Convert to fraction form
    552.90/825.07 = 491.55/x
  3. Step 3: Cross multiply
    552.90x = 825.07 × 491.55
  4. Step 4: Simplify right side
    552.90x = 405,563.16
  5. Step 5: Solve for x
    x = 405,563.16/552.90
  6. Step 6: Final answer
    x = 733.52

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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.