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Finding the Fourth Proportional to 833.80, 1,253.40 and 785.20

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Solution

The fourth proportional to 833.80, 1,253.40 and 785.20 is: 1,180.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.80 : 1,253.40 = 785.20 : x
  2. Step 2: Convert to fraction form
    833.80/1,253.40 = 785.20/x
  3. Step 3: Cross multiply
    833.80x = 1,253.40 × 785.20
  4. Step 4: Simplify right side
    833.80x = 984,169.68
  5. Step 5: Solve for x
    x = 984,169.68/833.80
  6. Step 6: Final answer
    x = 1,180.34

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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.