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Finding the Fourth Proportional to 1,099.38, 1,516.92 and 933.32

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Solution

The fourth proportional to 1,099.38, 1,516.92 and 933.32 is: 1,287.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.38 : 1,516.92 = 933.32 : x
  2. Step 2: Convert to fraction form
    1,099.38/1,516.92 = 933.32/x
  3. Step 3: Cross multiply
    1,099.38x = 1,516.92 × 933.32
  4. Step 4: Simplify right side
    1,099.38x = 1,415,771.77
  5. Step 5: Solve for x
    x = 1,415,771.77/1,099.38
  6. Step 6: Final answer
    x = 1,287.79

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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.