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Finding the Fourth Proportional to 821.85, 1,232.78 and 786.30

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Solution

The fourth proportional to 821.85, 1,232.78 and 786.30 is: 1,179.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.85 : 1,232.78 = 786.30 : x
  2. Step 2: Convert to fraction form
    821.85/1,232.78 = 786.30/x
  3. Step 3: Cross multiply
    821.85x = 1,232.78 × 786.30
  4. Step 4: Simplify right side
    821.85x = 969,330.98
  5. Step 5: Solve for x
    x = 969,330.98/821.85
  6. Step 6: Final answer
    x = 1,179.45

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Double scale
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Similar ratio
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1.5x scale

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.