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Finding the Fourth Proportional to 522.28, 777.44 and 519.52

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Solution

The fourth proportional to 522.28, 777.44 and 519.52 is: 773.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.28 : 777.44 = 519.52 : x
  2. Step 2: Convert to fraction form
    522.28/777.44 = 519.52/x
  3. Step 3: Cross multiply
    522.28x = 777.44 × 519.52
  4. Step 4: Simplify right side
    522.28x = 403,895.63
  5. Step 5: Solve for x
    x = 403,895.63/522.28
  6. Step 6: Final answer
    x = 773.33

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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.