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Finding the Fourth Proportional to 829.67, 1,244.51 and 252.55

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Solution

The fourth proportional to 829.67, 1,244.51 and 252.55 is: 378.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.67 : 1,244.51 = 252.55 : x
  2. Step 2: Convert to fraction form
    829.67/1,244.51 = 252.55/x
  3. Step 3: Cross multiply
    829.67x = 1,244.51 × 252.55
  4. Step 4: Simplify right side
    829.67x = 314,299.74
  5. Step 5: Solve for x
    x = 314,299.74/829.67
  6. Step 6: Final answer
    x = 378.83

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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.