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Finding the Fourth Proportional to 829.59, 1,244.55 and 281.63

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Solution

The fourth proportional to 829.59, 1,244.55 and 281.63 is: 422.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.59 : 1,244.55 = 281.63 : x
  2. Step 2: Convert to fraction form
    829.59/1,244.55 = 281.63/x
  3. Step 3: Cross multiply
    829.59x = 1,244.55 × 281.63
  4. Step 4: Simplify right side
    829.59x = 350,496.39
  5. Step 5: Solve for x
    x = 350,496.39/829.59
  6. Step 6: Final answer
    x = 422.49

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Double scale
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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.