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Finding the Fourth Proportional to 1,099.22, 1,515.98 and 959.14

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Solution

The fourth proportional to 1,099.22, 1,515.98 and 959.14 is: 1,322.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.22 : 1,515.98 = 959.14 : x
  2. Step 2: Convert to fraction form
    1,099.22/1,515.98 = 959.14/x
  3. Step 3: Cross multiply
    1,099.22x = 1,515.98 × 959.14
  4. Step 4: Simplify right side
    1,099.22x = 1,454,037.06
  5. Step 5: Solve for x
    x = 1,454,037.06/1,099.22
  6. Step 6: Final answer
    x = 1,322.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.