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Finding the Fourth Proportional to 575.25, 861.21 and 438.84

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Solution

The fourth proportional to 575.25, 861.21 and 438.84 is: 656.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.25 : 861.21 = 438.84 : x
  2. Step 2: Convert to fraction form
    575.25/861.21 = 438.84/x
  3. Step 3: Cross multiply
    575.25x = 861.21 × 438.84
  4. Step 4: Simplify right side
    575.25x = 377,933.40
  5. Step 5: Solve for x
    x = 377,933.40/575.25
  6. Step 6: Final answer
    x = 656.99

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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.