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Finding the Fourth Proportional to 1,098, 1,639.04 and 1,016.71

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Solution

The fourth proportional to 1,098, 1,639.04 and 1,016.71 is: 1,517.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098 : 1,639.04 = 1,016.71 : x
  2. Step 2: Convert to fraction form
    1,098/1,639.04 = 1,016.71/x
  3. Step 3: Cross multiply
    1,098x = 1,639.04 × 1,016.71
  4. Step 4: Simplify right side
    1,098x = 1,666,419.18
  5. Step 5: Solve for x
    x = 1,666,419.18/1,098
  6. Step 6: Final answer
    x = 1,517.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.