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Finding the Fourth Proportional to 768.35, 1,143.82 and 764.24

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Solution

The fourth proportional to 768.35, 1,143.82 and 764.24 is: 1,137.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.35 : 1,143.82 = 764.24 : x
  2. Step 2: Convert to fraction form
    768.35/1,143.82 = 764.24/x
  3. Step 3: Cross multiply
    768.35x = 1,143.82 × 764.24
  4. Step 4: Simplify right side
    768.35x = 874,148.23
  5. Step 5: Solve for x
    x = 874,148.23/768.35
  6. Step 6: Final answer
    x = 1,137.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.