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Finding the Fourth Proportional to 836.96, 1,153.56 and 696.80

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Solution

The fourth proportional to 836.96, 1,153.56 and 696.80 is: 960.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.96 : 1,153.56 = 696.80 : x
  2. Step 2: Convert to fraction form
    836.96/1,153.56 = 696.80/x
  3. Step 3: Cross multiply
    836.96x = 1,153.56 × 696.80
  4. Step 4: Simplify right side
    836.96x = 803,800.61
  5. Step 5: Solve for x
    x = 803,800.61/836.96
  6. Step 6: Final answer
    x = 960.38

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Double scale
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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.