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Finding the Fourth Proportional to 574.84, 861.64 and 421.42

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Solution

The fourth proportional to 574.84, 861.64 and 421.42 is: 631.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.84 : 861.64 = 421.42 : x
  2. Step 2: Convert to fraction form
    574.84/861.64 = 421.42/x
  3. Step 3: Cross multiply
    574.84x = 861.64 × 421.42
  4. Step 4: Simplify right side
    574.84x = 363,112.33
  5. Step 5: Solve for x
    x = 363,112.33/574.84
  6. Step 6: Final answer
    x = 631.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.