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Finding the Fourth Proportional to 522.39, 782.97 and 213.83

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Solution

The fourth proportional to 522.39, 782.97 and 213.83 is: 320.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.39 : 782.97 = 213.83 : x
  2. Step 2: Convert to fraction form
    522.39/782.97 = 213.83/x
  3. Step 3: Cross multiply
    522.39x = 782.97 × 213.83
  4. Step 4: Simplify right side
    522.39x = 167,422.48
  5. Step 5: Solve for x
    x = 167,422.48/522.39
  6. Step 6: Final answer
    x = 320.49

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.