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Finding the Fourth Proportional to 844.20, 1,165.86 and 698.40

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Solution

The fourth proportional to 844.20, 1,165.86 and 698.40 is: 964.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.20 : 1,165.86 = 698.40 : x
  2. Step 2: Convert to fraction form
    844.20/1,165.86 = 698.40/x
  3. Step 3: Cross multiply
    844.20x = 1,165.86 × 698.40
  4. Step 4: Simplify right side
    844.20x = 814,236.62
  5. Step 5: Solve for x
    x = 814,236.62/844.20
  6. Step 6: Final answer
    x = 964.51

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1.5x scale

Why These Related Problems?

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