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Finding the Fourth Proportional to 768.78, 1,153.17 and 306.54

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Solution

The fourth proportional to 768.78, 1,153.17 and 306.54 is: 459.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.78 : 1,153.17 = 306.54 : x
  2. Step 2: Convert to fraction form
    768.78/1,153.17 = 306.54/x
  3. Step 3: Cross multiply
    768.78x = 1,153.17 × 306.54
  4. Step 4: Simplify right side
    768.78x = 353,492.73
  5. Step 5: Solve for x
    x = 353,492.73/768.78
  6. Step 6: Final answer
    x = 459.81

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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.