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Finding the Fourth Proportional to 521.78, 782.59 and 192.87

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Solution

The fourth proportional to 521.78, 782.59 and 192.87 is: 289.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.78 : 782.59 = 192.87 : x
  2. Step 2: Convert to fraction form
    521.78/782.59 = 192.87/x
  3. Step 3: Cross multiply
    521.78x = 782.59 × 192.87
  4. Step 4: Simplify right side
    521.78x = 150,941.73
  5. Step 5: Solve for x
    x = 150,941.73/521.78
  6. Step 6: Final answer
    x = 289.28

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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.