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Finding the Fourth Proportional to 1,448.68, 1,999.28 and 1,098.76

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Solution

The fourth proportional to 1,448.68, 1,999.28 and 1,098.76 is: 1,516.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.68 : 1,999.28 = 1,098.76 : x
  2. Step 2: Convert to fraction form
    1,448.68/1,999.28 = 1,098.76/x
  3. Step 3: Cross multiply
    1,448.68x = 1,999.28 × 1,098.76
  4. Step 4: Simplify right side
    1,448.68x = 2,196,728.89
  5. Step 5: Solve for x
    x = 2,196,728.89/1,448.68
  6. Step 6: Final answer
    x = 1,516.37

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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.