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Finding the Fourth Proportional to 873.25, 1,205.38 and 541.96

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Solution

The fourth proportional to 873.25, 1,205.38 and 541.96 is: 748.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.25 : 1,205.38 = 541.96 : x
  2. Step 2: Convert to fraction form
    873.25/1,205.38 = 541.96/x
  3. Step 3: Cross multiply
    873.25x = 1,205.38 × 541.96
  4. Step 4: Simplify right side
    873.25x = 653,265.41
  5. Step 5: Solve for x
    x = 653,265.41/873.25
  6. Step 6: Final answer
    x = 748.09

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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.