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Finding the Fourth Proportional to 1,329.47, 1,834.68 and 798.43

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Solution

The fourth proportional to 1,329.47, 1,834.68 and 798.43 is: 1,101.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.47 : 1,834.68 = 798.43 : x
  2. Step 2: Convert to fraction form
    1,329.47/1,834.68 = 798.43/x
  3. Step 3: Cross multiply
    1,329.47x = 1,834.68 × 798.43
  4. Step 4: Simplify right side
    1,329.47x = 1,464,854.38
  5. Step 5: Solve for x
    x = 1,464,854.38/1,329.47
  6. Step 6: Final answer
    x = 1,101.83

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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.