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Finding the Fourth Proportional to 1,273.66, 1,902.25 and 1,088.98

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Solution

The fourth proportional to 1,273.66, 1,902.25 and 1,088.98 is: 1,626.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.66 : 1,902.25 = 1,088.98 : x
  2. Step 2: Convert to fraction form
    1,273.66/1,902.25 = 1,088.98/x
  3. Step 3: Cross multiply
    1,273.66x = 1,902.25 × 1,088.98
  4. Step 4: Simplify right side
    1,273.66x = 2,071,508.81
  5. Step 5: Solve for x
    x = 2,071,508.81/1,273.66
  6. Step 6: Final answer
    x = 1,626.43

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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.