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Finding the Fourth Proportional to 1,099.33, 1,516.65 and 678.95

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Solution

The fourth proportional to 1,099.33, 1,516.65 and 678.95 is: 936.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.33 : 1,516.65 = 678.95 : x
  2. Step 2: Convert to fraction form
    1,099.33/1,516.65 = 678.95/x
  3. Step 3: Cross multiply
    1,099.33x = 1,516.65 × 678.95
  4. Step 4: Simplify right side
    1,099.33x = 1,029,729.52
  5. Step 5: Solve for x
    x = 1,029,729.52/1,099.33
  6. Step 6: Final answer
    x = 936.69

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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.