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Finding the Fourth Proportional to 521.77, 782.49 and 213.55

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Solution

The fourth proportional to 521.77, 782.49 and 213.55 is: 320.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.77 : 782.49 = 213.55 : x
  2. Step 2: Convert to fraction form
    521.77/782.49 = 213.55/x
  3. Step 3: Cross multiply
    521.77x = 782.49 × 213.55
  4. Step 4: Simplify right side
    521.77x = 167,100.74
  5. Step 5: Solve for x
    x = 167,100.74/521.77
  6. Step 6: Final answer
    x = 320.26

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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.