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Finding the Fourth Proportional to 1,432.22, 1,976.73 and 834.82

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Solution

The fourth proportional to 1,432.22, 1,976.73 and 834.82 is: 1,152.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.22 : 1,976.73 = 834.82 : x
  2. Step 2: Convert to fraction form
    1,432.22/1,976.73 = 834.82/x
  3. Step 3: Cross multiply
    1,432.22x = 1,976.73 × 834.82
  4. Step 4: Simplify right side
    1,432.22x = 1,650,208.80
  5. Step 5: Solve for x
    x = 1,650,208.80/1,432.22
  6. Step 6: Final answer
    x = 1,152.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.