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Finding the Fourth Proportional to 1,068, 1,474.56 and 819.96

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Solution

The fourth proportional to 1,068, 1,474.56 and 819.96 is: 1,132.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068 : 1,474.56 = 819.96 : x
  2. Step 2: Convert to fraction form
    1,068/1,474.56 = 819.96/x
  3. Step 3: Cross multiply
    1,068x = 1,474.56 × 819.96
  4. Step 4: Simplify right side
    1,068x = 1,209,080.22
  5. Step 5: Solve for x
    x = 1,209,080.22/1,068
  6. Step 6: Final answer
    x = 1,132.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.