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Finding the Fourth Proportional to 521.88, 788.74 and 512.92

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Solution

The fourth proportional to 521.88, 788.74 and 512.92 is: 775.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.88 : 788.74 = 512.92 : x
  2. Step 2: Convert to fraction form
    521.88/788.74 = 512.92/x
  3. Step 3: Cross multiply
    521.88x = 788.74 × 512.92
  4. Step 4: Simplify right side
    521.88x = 404,560.52
  5. Step 5: Solve for x
    x = 404,560.52/521.88
  6. Step 6: Final answer
    x = 775.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.