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Finding the Fourth Proportional to 773.91, 1,068 and 419.84

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Solution

The fourth proportional to 773.91, 1,068 and 419.84 is: 579.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.91 : 1,068 = 419.84 : x
  2. Step 2: Convert to fraction form
    773.91/1,068 = 419.84/x
  3. Step 3: Cross multiply
    773.91x = 1,068 × 419.84
  4. Step 4: Simplify right side
    773.91x = 448,389.12
  5. Step 5: Solve for x
    x = 448,389.12/773.91
  6. Step 6: Final answer
    x = 579.38

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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.