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Finding the Fourth Proportional to 1,096.13, 1,510.98 and 874.73

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Solution

The fourth proportional to 1,096.13, 1,510.98 and 874.73 is: 1,205.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.13 : 1,510.98 = 874.73 : x
  2. Step 2: Convert to fraction form
    1,096.13/1,510.98 = 874.73/x
  3. Step 3: Cross multiply
    1,096.13x = 1,510.98 × 874.73
  4. Step 4: Simplify right side
    1,096.13x = 1,321,699.54
  5. Step 5: Solve for x
    x = 1,321,699.54/1,096.13
  6. Step 6: Final answer
    x = 1,205.79

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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.