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Finding the Fourth Proportional to 768.74, 1,153.11 and 335.78

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Solution

The fourth proportional to 768.74, 1,153.11 and 335.78 is: 503.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.74 : 1,153.11 = 335.78 : x
  2. Step 2: Convert to fraction form
    768.74/1,153.11 = 335.78/x
  3. Step 3: Cross multiply
    768.74x = 1,153.11 × 335.78
  4. Step 4: Simplify right side
    768.74x = 387,191.28
  5. Step 5: Solve for x
    x = 387,191.28/768.74
  6. Step 6: Final answer
    x = 503.67

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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.