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Finding the Fourth Proportional to 521.87, 778.76 and 494.20

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Solution

The fourth proportional to 521.87, 778.76 and 494.20 is: 737.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.87 : 778.76 = 494.20 : x
  2. Step 2: Convert to fraction form
    521.87/778.76 = 494.20/x
  3. Step 3: Cross multiply
    521.87x = 778.76 × 494.20
  4. Step 4: Simplify right side
    521.87x = 384,866.33
  5. Step 5: Solve for x
    x = 384,866.33/521.87
  6. Step 6: Final answer
    x = 737.48

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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.