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Finding the Fourth Proportional to 828.12, 1,143.81 and 603.70

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Solution

The fourth proportional to 828.12, 1,143.81 and 603.70 is: 833.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.12 : 1,143.81 = 603.70 : x
  2. Step 2: Convert to fraction form
    828.12/1,143.81 = 603.70/x
  3. Step 3: Cross multiply
    828.12x = 1,143.81 × 603.70
  4. Step 4: Simplify right side
    828.12x = 690,523.37
  5. Step 5: Solve for x
    x = 690,523.37/828.12
  6. Step 6: Final answer
    x = 833.84

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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.