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Finding the Fourth Proportional to 521.90, 720.34 and 382.22

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Solution

The fourth proportional to 521.90, 720.34 and 382.22 is: 527.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.90 : 720.34 = 382.22 : x
  2. Step 2: Convert to fraction form
    521.90/720.34 = 382.22/x
  3. Step 3: Cross multiply
    521.90x = 720.34 × 382.22
  4. Step 4: Simplify right side
    521.90x = 275,323.80
  5. Step 5: Solve for x
    x = 275,323.80/521.90
  6. Step 6: Final answer
    x = 527.55

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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.