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Finding the Fourth Proportional to 872.32, 1,204.41 and 541.30

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Solution

The fourth proportional to 872.32, 1,204.41 and 541.30 is: 747.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.32 : 1,204.41 = 541.30 : x
  2. Step 2: Convert to fraction form
    872.32/1,204.41 = 541.30/x
  3. Step 3: Cross multiply
    872.32x = 1,204.41 × 541.30
  4. Step 4: Simplify right side
    872.32x = 651,947.13
  5. Step 5: Solve for x
    x = 651,947.13/872.32
  6. Step 6: Final answer
    x = 747.37

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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.