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Finding the Fourth Proportional to 768.87, 1,153.78 and 306.77

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Solution

The fourth proportional to 768.87, 1,153.78 and 306.77 is: 460.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.87 : 1,153.78 = 306.77 : x
  2. Step 2: Convert to fraction form
    768.87/1,153.78 = 306.77/x
  3. Step 3: Cross multiply
    768.87x = 1,153.78 × 306.77
  4. Step 4: Simplify right side
    768.87x = 353,938.55
  5. Step 5: Solve for x
    x = 353,938.55/768.87
  6. Step 6: Final answer
    x = 460.34

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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.