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Finding the Fourth Proportional to 543.93, 747.89 and 540.42

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Solution

The fourth proportional to 543.93, 747.89 and 540.42 is: 743.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.93 : 747.89 = 540.42 : x
  2. Step 2: Convert to fraction form
    543.93/747.89 = 540.42/x
  3. Step 3: Cross multiply
    543.93x = 747.89 × 540.42
  4. Step 4: Simplify right side
    543.93x = 404,172.01
  5. Step 5: Solve for x
    x = 404,172.01/543.93
  6. Step 6: Final answer
    x = 743.06

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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.