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Finding the Fourth Proportional to 833.20, 1,252.20 and 727.60

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Solution

The fourth proportional to 833.20, 1,252.20 and 727.60 is: 1,093.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.20 : 1,252.20 = 727.60 : x
  2. Step 2: Convert to fraction form
    833.20/1,252.20 = 727.60/x
  3. Step 3: Cross multiply
    833.20x = 1,252.20 × 727.60
  4. Step 4: Simplify right side
    833.20x = 911,100.72
  5. Step 5: Solve for x
    x = 911,100.72/833.20
  6. Step 6: Final answer
    x = 1,093.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.