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Finding the Fourth Proportional to 828.14, 1,241.92 and 389.25

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Solution

The fourth proportional to 828.14, 1,241.92 and 389.25 is: 583.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.14 : 1,241.92 = 389.25 : x
  2. Step 2: Convert to fraction form
    828.14/1,241.92 = 389.25/x
  3. Step 3: Cross multiply
    828.14x = 1,241.92 × 389.25
  4. Step 4: Simplify right side
    828.14x = 483,417.36
  5. Step 5: Solve for x
    x = 483,417.36/828.14
  6. Step 6: Final answer
    x = 583.74

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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.