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Finding the Fourth Proportional to 769.05, 1,061.29 and 419.74

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Solution

The fourth proportional to 769.05, 1,061.29 and 419.74 is: 579.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.05 : 1,061.29 = 419.74 : x
  2. Step 2: Convert to fraction form
    769.05/1,061.29 = 419.74/x
  3. Step 3: Cross multiply
    769.05x = 1,061.29 × 419.74
  4. Step 4: Simplify right side
    769.05x = 445,465.86
  5. Step 5: Solve for x
    x = 445,465.86/769.05
  6. Step 6: Final answer
    x = 579.24

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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.