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Finding the Fourth Proportional to 1,097.05, 1,513.92 and 599.69

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Solution

The fourth proportional to 1,097.05, 1,513.92 and 599.69 is: 827.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.05 : 1,513.92 = 599.69 : x
  2. Step 2: Convert to fraction form
    1,097.05/1,513.92 = 599.69/x
  3. Step 3: Cross multiply
    1,097.05x = 1,513.92 × 599.69
  4. Step 4: Simplify right side
    1,097.05x = 907,882.68
  5. Step 5: Solve for x
    x = 907,882.68/1,097.05
  6. Step 6: Final answer
    x = 827.57

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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.