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Finding the Fourth Proportional to 828.41, 1,143.26 and 604.40

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Solution

The fourth proportional to 828.41, 1,143.26 and 604.40 is: 834.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.41 : 1,143.26 = 604.40 : x
  2. Step 2: Convert to fraction form
    828.41/1,143.26 = 604.40/x
  3. Step 3: Cross multiply
    828.41x = 1,143.26 × 604.40
  4. Step 4: Simplify right side
    828.41x = 690,986.34
  5. Step 5: Solve for x
    x = 690,986.34/828.41
  6. Step 6: Final answer
    x = 834.11

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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.