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Finding the Fourth Proportional to 769.25, 1,061.57 and 419.94

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Solution

The fourth proportional to 769.25, 1,061.57 and 419.94 is: 579.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.25 : 1,061.57 = 419.94 : x
  2. Step 2: Convert to fraction form
    769.25/1,061.57 = 419.94/x
  3. Step 3: Cross multiply
    769.25x = 1,061.57 × 419.94
  4. Step 4: Simplify right side
    769.25x = 445,793.61
  5. Step 5: Solve for x
    x = 445,793.61/769.25
  6. Step 6: Final answer
    x = 579.52

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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.