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Finding the Fourth Proportional to 768.92, 1,061.07 and 419.54

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Solution

The fourth proportional to 768.92, 1,061.07 and 419.54 is: 578.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.92 : 1,061.07 = 419.54 : x
  2. Step 2: Convert to fraction form
    768.92/1,061.07 = 419.54/x
  3. Step 3: Cross multiply
    768.92x = 1,061.07 × 419.54
  4. Step 4: Simplify right side
    768.92x = 445,161.31
  5. Step 5: Solve for x
    x = 445,161.31/768.92
  6. Step 6: Final answer
    x = 578.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.