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Finding the Fourth Proportional to 828.32, 1,241.42 and 438.31

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Solution

The fourth proportional to 828.32, 1,241.42 and 438.31 is: 656.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.32 : 1,241.42 = 438.31 : x
  2. Step 2: Convert to fraction form
    828.32/1,241.42 = 438.31/x
  3. Step 3: Cross multiply
    828.32x = 1,241.42 × 438.31
  4. Step 4: Simplify right side
    828.32x = 544,118.40
  5. Step 5: Solve for x
    x = 544,118.40/828.32
  6. Step 6: Final answer
    x = 656.89

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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.