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Finding the Fourth Proportional to 769.27, 1,061.60 and 419.95

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Solution

The fourth proportional to 769.27, 1,061.60 and 419.95 is: 579.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.27 : 1,061.60 = 419.95 : x
  2. Step 2: Convert to fraction form
    769.27/1,061.60 = 419.95/x
  3. Step 3: Cross multiply
    769.27x = 1,061.60 × 419.95
  4. Step 4: Simplify right side
    769.27x = 445,818.92
  5. Step 5: Solve for x
    x = 445,818.92/769.27
  6. Step 6: Final answer
    x = 579.54

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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.