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Finding the Fourth Proportional to 836.85, 1,245.76 and 797.05

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Solution

The fourth proportional to 836.85, 1,245.76 and 797.05 is: 1,186.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.85 : 1,245.76 = 797.05 : x
  2. Step 2: Convert to fraction form
    836.85/1,245.76 = 797.05/x
  3. Step 3: Cross multiply
    836.85x = 1,245.76 × 797.05
  4. Step 4: Simplify right side
    836.85x = 992,933.01
  5. Step 5: Solve for x
    x = 992,933.01/836.85
  6. Step 6: Final answer
    x = 1,186.51

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1.5x scale

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.