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Finding the Fourth Proportional to 1,370.53, 2,056.31 and 823.11

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Solution

The fourth proportional to 1,370.53, 2,056.31 and 823.11 is: 1,234.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.53 : 2,056.31 = 823.11 : x
  2. Step 2: Convert to fraction form
    1,370.53/2,056.31 = 823.11/x
  3. Step 3: Cross multiply
    1,370.53x = 2,056.31 × 823.11
  4. Step 4: Simplify right side
    1,370.53x = 1,692,559.04
  5. Step 5: Solve for x
    x = 1,692,559.04/1,370.53
  6. Step 6: Final answer
    x = 1,234.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.