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Finding the Fourth Proportional to 552.06, 762.62 and 522.90

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Solution

The fourth proportional to 552.06, 762.62 and 522.90 is: 722.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.06 : 762.62 = 522.90 : x
  2. Step 2: Convert to fraction form
    552.06/762.62 = 522.90/x
  3. Step 3: Cross multiply
    552.06x = 762.62 × 522.90
  4. Step 4: Simplify right side
    552.06x = 398,771.38
  5. Step 5: Solve for x
    x = 398,771.38/552.06
  6. Step 6: Final answer
    x = 722.33

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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.