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Finding the Fourth Proportional to 874.19, 1,206.43 and 579.25

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Solution

The fourth proportional to 874.19, 1,206.43 and 579.25 is: 799.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.19 : 1,206.43 = 579.25 : x
  2. Step 2: Convert to fraction form
    874.19/1,206.43 = 579.25/x
  3. Step 3: Cross multiply
    874.19x = 1,206.43 × 579.25
  4. Step 4: Simplify right side
    874.19x = 698,815.65
  5. Step 5: Solve for x
    x = 698,815.65/874.19
  6. Step 6: Final answer
    x = 799.39

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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.