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Finding the Fourth Proportional to 851.43, 1,283.61 and 798.65

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Solution

The fourth proportional to 851.43, 1,283.61 and 798.65 is: 1,204.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.43 : 1,283.61 = 798.65 : x
  2. Step 2: Convert to fraction form
    851.43/1,283.61 = 798.65/x
  3. Step 3: Cross multiply
    851.43x = 1,283.61 × 798.65
  4. Step 4: Simplify right side
    851.43x = 1,025,155.13
  5. Step 5: Solve for x
    x = 1,025,155.13/851.43
  6. Step 6: Final answer
    x = 1,204.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.