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Finding the Fourth Proportional to 874.87, 1,207.82 and 580.54

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Solution

The fourth proportional to 874.87, 1,207.82 and 580.54 is: 801.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.87 : 1,207.82 = 580.54 : x
  2. Step 2: Convert to fraction form
    874.87/1,207.82 = 580.54/x
  3. Step 3: Cross multiply
    874.87x = 1,207.82 × 580.54
  4. Step 4: Simplify right side
    874.87x = 701,187.82
  5. Step 5: Solve for x
    x = 701,187.82/874.87
  6. Step 6: Final answer
    x = 801.48

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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.