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Finding the Fourth Proportional to 575.37, 861.99 and 421.37

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Solution

The fourth proportional to 575.37, 861.99 and 421.37 is: 631.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.37 : 861.99 = 421.37 : x
  2. Step 2: Convert to fraction form
    575.37/861.99 = 421.37/x
  3. Step 3: Cross multiply
    575.37x = 861.99 × 421.37
  4. Step 4: Simplify right side
    575.37x = 363,212.42
  5. Step 5: Solve for x
    x = 363,212.42/575.37
  6. Step 6: Final answer
    x = 631.27

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