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Finding the Fourth Proportional to 872.26, 1,203.72 and 518.20

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Solution

The fourth proportional to 872.26, 1,203.72 and 518.20 is: 715.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.26 : 1,203.72 = 518.20 : x
  2. Step 2: Convert to fraction form
    872.26/1,203.72 = 518.20/x
  3. Step 3: Cross multiply
    872.26x = 1,203.72 × 518.20
  4. Step 4: Simplify right side
    872.26x = 623,767.70
  5. Step 5: Solve for x
    x = 623,767.70/872.26
  6. Step 6: Final answer
    x = 715.12

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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.