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Finding the Fourth Proportional to 768.49, 1,153.17 and 461.09

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Solution

The fourth proportional to 768.49, 1,153.17 and 461.09 is: 691.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.49 : 1,153.17 = 461.09 : x
  2. Step 2: Convert to fraction form
    768.49/1,153.17 = 461.09/x
  3. Step 3: Cross multiply
    768.49x = 1,153.17 × 461.09
  4. Step 4: Simplify right side
    768.49x = 531,718.04
  5. Step 5: Solve for x
    x = 531,718.04/768.49
  6. Step 6: Final answer
    x = 691.90

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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.