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Finding the Fourth Proportional to 521.09, 780.52 and 246.77

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Solution

The fourth proportional to 521.09, 780.52 and 246.77 is: 369.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.09 : 780.52 = 246.77 : x
  2. Step 2: Convert to fraction form
    521.09/780.52 = 246.77/x
  3. Step 3: Cross multiply
    521.09x = 780.52 × 246.77
  4. Step 4: Simplify right side
    521.09x = 192,608.92
  5. Step 5: Solve for x
    x = 192,608.92/521.09
  6. Step 6: Final answer
    x = 369.63

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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.