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Finding the Fourth Proportional to 521.86, 782.80 and 197.24

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Solution

The fourth proportional to 521.86, 782.80 and 197.24 is: 295.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.86 : 782.80 = 197.24 : x
  2. Step 2: Convert to fraction form
    521.86/782.80 = 197.24/x
  3. Step 3: Cross multiply
    521.86x = 782.80 × 197.24
  4. Step 4: Simplify right side
    521.86x = 154,395.06
  5. Step 5: Solve for x
    x = 154,395.06/521.86
  6. Step 6: Final answer
    x = 295.86

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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.