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Finding the Fourth Proportional to 828.14, 1,242.26 and 300.98

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Solution

The fourth proportional to 828.14, 1,242.26 and 300.98 is: 451.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.14 : 1,242.26 = 300.98 : x
  2. Step 2: Convert to fraction form
    828.14/1,242.26 = 300.98/x
  3. Step 3: Cross multiply
    828.14x = 1,242.26 × 300.98
  4. Step 4: Simplify right side
    828.14x = 373,893.75
  5. Step 5: Solve for x
    x = 373,893.75/828.14
  6. Step 6: Final answer
    x = 451.49

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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.