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Finding the Fourth Proportional to 847.49, 1,160.78 and 797.68

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Solution

The fourth proportional to 847.49, 1,160.78 and 797.68 is: 1,092.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.49 : 1,160.78 = 797.68 : x
  2. Step 2: Convert to fraction form
    847.49/1,160.78 = 797.68/x
  3. Step 3: Cross multiply
    847.49x = 1,160.78 × 797.68
  4. Step 4: Simplify right side
    847.49x = 925,921.20
  5. Step 5: Solve for x
    x = 925,921.20/847.49
  6. Step 6: Final answer
    x = 1,092.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.