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Finding the Fourth Proportional to 873, 1,204.38 and 541.26

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Solution

The fourth proportional to 873, 1,204.38 and 541.26 is: 746.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    873 : 1,204.38 = 541.26 : x
  2. Step 2: Convert to fraction form
    873/1,204.38 = 541.26/x
  3. Step 3: Cross multiply
    873x = 1,204.38 × 541.26
  4. Step 4: Simplify right side
    873x = 651,882.72
  5. Step 5: Solve for x
    x = 651,882.72/873
  6. Step 6: Final answer
    x = 746.72

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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.