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Finding the Fourth Proportional to 833.74, 1,245.41 and 617.74

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Solution

The fourth proportional to 833.74, 1,245.41 and 617.74 is: 922.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.74 : 1,245.41 = 617.74 : x
  2. Step 2: Convert to fraction form
    833.74/1,245.41 = 617.74/x
  3. Step 3: Cross multiply
    833.74x = 1,245.41 × 617.74
  4. Step 4: Simplify right side
    833.74x = 769,339.57
  5. Step 5: Solve for x
    x = 769,339.57/833.74
  6. Step 6: Final answer
    x = 922.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.