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Finding the Fourth Proportional to 773.97, 1,068.06 and 419.88

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Solution

The fourth proportional to 773.97, 1,068.06 and 419.88 is: 579.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.97 : 1,068.06 = 419.88 : x
  2. Step 2: Convert to fraction form
    773.97/1,068.06 = 419.88/x
  3. Step 3: Cross multiply
    773.97x = 1,068.06 × 419.88
  4. Step 4: Simplify right side
    773.97x = 448,457.03
  5. Step 5: Solve for x
    x = 448,457.03/773.97
  6. Step 6: Final answer
    x = 579.42

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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.