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Finding the Fourth Proportional to 768.73, 1,151.71 and 494.14

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Solution

The fourth proportional to 768.73, 1,151.71 and 494.14 is: 740.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.73 : 1,151.71 = 494.14 : x
  2. Step 2: Convert to fraction form
    768.73/1,151.71 = 494.14/x
  3. Step 3: Cross multiply
    768.73x = 1,151.71 × 494.14
  4. Step 4: Simplify right side
    768.73x = 569,105.98
  5. Step 5: Solve for x
    x = 569,105.98/768.73
  6. Step 6: Final answer
    x = 740.32

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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.