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Finding the Fourth Proportional to 521.91, 779.02 and 511.11

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Solution

The fourth proportional to 521.91, 779.02 and 511.11 is: 762.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.91 : 779.02 = 511.11 : x
  2. Step 2: Convert to fraction form
    521.91/779.02 = 511.11/x
  3. Step 3: Cross multiply
    521.91x = 779.02 × 511.11
  4. Step 4: Simplify right side
    521.91x = 398,163.63
  5. Step 5: Solve for x
    x = 398,163.63/521.91
  6. Step 6: Final answer
    x = 762.90

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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.