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Finding the Fourth Proportional to 543.96, 751.04 and 419.42

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Solution

The fourth proportional to 543.96, 751.04 and 419.42 is: 579.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.96 : 751.04 = 419.42 : x
  2. Step 2: Convert to fraction form
    543.96/751.04 = 419.42/x
  3. Step 3: Cross multiply
    543.96x = 751.04 × 419.42
  4. Step 4: Simplify right side
    543.96x = 315,001.20
  5. Step 5: Solve for x
    x = 315,001.20/543.96
  6. Step 6: Final answer
    x = 579.09

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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.