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Finding the Fourth Proportional to 833.46, 1,148.49 and 687.12

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Solution

The fourth proportional to 833.46, 1,148.49 and 687.12 is: 946.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.46 : 1,148.49 = 687.12 : x
  2. Step 2: Convert to fraction form
    833.46/1,148.49 = 687.12/x
  3. Step 3: Cross multiply
    833.46x = 1,148.49 × 687.12
  4. Step 4: Simplify right side
    833.46x = 789,150.45
  5. Step 5: Solve for x
    x = 789,150.45/833.46
  6. Step 6: Final answer
    x = 946.84

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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.