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Finding the Fourth Proportional to 540.72, 743.04 and 533.52

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Solution

The fourth proportional to 540.72, 743.04 and 533.52 is: 733.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.72 : 743.04 = 533.52 : x
  2. Step 2: Convert to fraction form
    540.72/743.04 = 533.52/x
  3. Step 3: Cross multiply
    540.72x = 743.04 × 533.52
  4. Step 4: Simplify right side
    540.72x = 396,426.70
  5. Step 5: Solve for x
    x = 396,426.70/540.72
  6. Step 6: Final answer
    x = 733.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.