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Finding the Fourth Proportional to 768.78, 1,151.01 and 637.56

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Solution

The fourth proportional to 768.78, 1,151.01 and 637.56 is: 954.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.78 : 1,151.01 = 637.56 : x
  2. Step 2: Convert to fraction form
    768.78/1,151.01 = 637.56/x
  3. Step 3: Cross multiply
    768.78x = 1,151.01 × 637.56
  4. Step 4: Simplify right side
    768.78x = 733,837.94
  5. Step 5: Solve for x
    x = 733,837.94/768.78
  6. Step 6: Final answer
    x = 954.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.