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Finding the Fourth Proportional to 1,358.38, 1,874.22 and 798.64

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Solution

The fourth proportional to 1,358.38, 1,874.22 and 798.64 is: 1,101.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.38 : 1,874.22 = 798.64 : x
  2. Step 2: Convert to fraction form
    1,358.38/1,874.22 = 798.64/x
  3. Step 3: Cross multiply
    1,358.38x = 1,874.22 × 798.64
  4. Step 4: Simplify right side
    1,358.38x = 1,496,827.06
  5. Step 5: Solve for x
    x = 1,496,827.06/1,358.38
  6. Step 6: Final answer
    x = 1,101.92

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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.