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Finding the Fourth Proportional to 520.78, 780.93 and 196.15

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Solution

The fourth proportional to 520.78, 780.93 and 196.15 is: 294.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.78 : 780.93 = 196.15 : x
  2. Step 2: Convert to fraction form
    520.78/780.93 = 196.15/x
  3. Step 3: Cross multiply
    520.78x = 780.93 × 196.15
  4. Step 4: Simplify right side
    520.78x = 153,179.42
  5. Step 5: Solve for x
    x = 153,179.42/520.78
  6. Step 6: Final answer
    x = 294.13

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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.