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Finding the Fourth Proportional to 543.12, 743.06 and 540.82

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Solution

The fourth proportional to 543.12, 743.06 and 540.82 is: 739.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.12 : 743.06 = 540.82 : x
  2. Step 2: Convert to fraction form
    543.12/743.06 = 540.82/x
  3. Step 3: Cross multiply
    543.12x = 743.06 × 540.82
  4. Step 4: Simplify right side
    543.12x = 401,861.71
  5. Step 5: Solve for x
    x = 401,861.71/543.12
  6. Step 6: Final answer
    x = 739.91

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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.