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Finding the Fourth Proportional to 874.73, 1,207.44 and 580.10

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Solution

The fourth proportional to 874.73, 1,207.44 and 580.10 is: 800.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.73 : 1,207.44 = 580.10 : x
  2. Step 2: Convert to fraction form
    874.73/1,207.44 = 580.10/x
  3. Step 3: Cross multiply
    874.73x = 1,207.44 × 580.10
  4. Step 4: Simplify right side
    874.73x = 700,429.91
  5. Step 5: Solve for x
    x = 700,429.91/874.73
  6. Step 6: Final answer
    x = 800.74

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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.