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Finding the Fourth Proportional to 849.71, 1,276.79 and 797.16

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Solution

The fourth proportional to 849.71, 1,276.79 and 797.16 is: 1,197.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.71 : 1,276.79 = 797.16 : x
  2. Step 2: Convert to fraction form
    849.71/1,276.79 = 797.16/x
  3. Step 3: Cross multiply
    849.71x = 1,276.79 × 797.16
  4. Step 4: Simplify right side
    849.71x = 1,017,801.93
  5. Step 5: Solve for x
    x = 1,017,801.93/849.71
  6. Step 6: Final answer
    x = 1,197.83

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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.