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Finding the Fourth Proportional to 541.72, 751.27 and 522.28

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Solution

The fourth proportional to 541.72, 751.27 and 522.28 is: 724.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.72 : 751.27 = 522.28 : x
  2. Step 2: Convert to fraction form
    541.72/751.27 = 522.28/x
  3. Step 3: Cross multiply
    541.72x = 751.27 × 522.28
  4. Step 4: Simplify right side
    541.72x = 392,373.30
  5. Step 5: Solve for x
    x = 392,373.30/541.72
  6. Step 6: Final answer
    x = 724.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.