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Finding the Fourth Proportional to 806.97, 1,203.89 and 784.65

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Solution

The fourth proportional to 806.97, 1,203.89 and 784.65 is: 1,170.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.97 : 1,203.89 = 784.65 : x
  2. Step 2: Convert to fraction form
    806.97/1,203.89 = 784.65/x
  3. Step 3: Cross multiply
    806.97x = 1,203.89 × 784.65
  4. Step 4: Simplify right side
    806.97x = 944,628.37
  5. Step 5: Solve for x
    x = 944,628.37/806.97
  6. Step 6: Final answer
    x = 1,170.59

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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.