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Finding the Fourth Proportional to 1,358.65, 1,874.95 and 799.14

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Solution

The fourth proportional to 1,358.65, 1,874.95 and 799.14 is: 1,102.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.65 : 1,874.95 = 799.14 : x
  2. Step 2: Convert to fraction form
    1,358.65/1,874.95 = 799.14/x
  3. Step 3: Cross multiply
    1,358.65x = 1,874.95 × 799.14
  4. Step 4: Simplify right side
    1,358.65x = 1,498,348.23
  5. Step 5: Solve for x
    x = 1,498,348.23/1,358.65
  6. Step 6: Final answer
    x = 1,102.82

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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.