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Finding the Fourth Proportional to 828.63, 1,143.01 and 548.87

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Solution

The fourth proportional to 828.63, 1,143.01 and 548.87 is: 757.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.63 : 1,143.01 = 548.87 : x
  2. Step 2: Convert to fraction form
    828.63/1,143.01 = 548.87/x
  3. Step 3: Cross multiply
    828.63x = 1,143.01 × 548.87
  4. Step 4: Simplify right side
    828.63x = 627,363.90
  5. Step 5: Solve for x
    x = 627,363.90/828.63
  6. Step 6: Final answer
    x = 757.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.