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Finding the Fourth Proportional to 521.90, 778.17 and 512.67

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Solution

The fourth proportional to 521.90, 778.17 and 512.67 is: 764.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.90 : 778.17 = 512.67 : x
  2. Step 2: Convert to fraction form
    521.90/778.17 = 512.67/x
  3. Step 3: Cross multiply
    521.90x = 778.17 × 512.67
  4. Step 4: Simplify right side
    521.90x = 398,944.41
  5. Step 5: Solve for x
    x = 398,944.41/521.90
  6. Step 6: Final answer
    x = 764.42

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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.