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Finding the Fourth Proportional to 872.01, 1,203.21 and 577.11

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Solution

The fourth proportional to 872.01, 1,203.21 and 577.11 is: 796.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.01 : 1,203.21 = 577.11 : x
  2. Step 2: Convert to fraction form
    872.01/1,203.21 = 577.11/x
  3. Step 3: Cross multiply
    872.01x = 1,203.21 × 577.11
  4. Step 4: Simplify right side
    872.01x = 694,384.52
  5. Step 5: Solve for x
    x = 694,384.52/872.01
  6. Step 6: Final answer
    x = 796.30

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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.