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Finding the Fourth Proportional to 828.06, 1,140.12 and 724.56

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Solution

The fourth proportional to 828.06, 1,140.12 and 724.56 is: 997.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.06 : 1,140.12 = 724.56 : x
  2. Step 2: Convert to fraction form
    828.06/1,140.12 = 724.56/x
  3. Step 3: Cross multiply
    828.06x = 1,140.12 × 724.56
  4. Step 4: Simplify right side
    828.06x = 826,085.35
  5. Step 5: Solve for x
    x = 826,085.35/828.06
  6. Step 6: Final answer
    x = 997.62

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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.