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Finding the Fourth Proportional to 833.94, 1,152.09 and 827.46

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Solution

The fourth proportional to 833.94, 1,152.09 and 827.46 is: 1,143.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.94 : 1,152.09 = 827.46 : x
  2. Step 2: Convert to fraction form
    833.94/1,152.09 = 827.46/x
  3. Step 3: Cross multiply
    833.94x = 1,152.09 × 827.46
  4. Step 4: Simplify right side
    833.94x = 953,308.39
  5. Step 5: Solve for x
    x = 953,308.39/833.94
  6. Step 6: Final answer
    x = 1,143.14

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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.