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Finding the Fourth Proportional to 541.52, 747 and 443.72

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Solution

The fourth proportional to 541.52, 747 and 443.72 is: 612.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.52 : 747 = 443.72 : x
  2. Step 2: Convert to fraction form
    541.52/747 = 443.72/x
  3. Step 3: Cross multiply
    541.52x = 747 × 443.72
  4. Step 4: Simplify right side
    541.52x = 331,458.84
  5. Step 5: Solve for x
    x = 331,458.84/541.52
  6. Step 6: Final answer
    x = 612.09

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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.