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Finding the Fourth Proportional to 828.28, 1,242.42 and 444.28

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Solution

The fourth proportional to 828.28, 1,242.42 and 444.28 is: 666.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.28 : 1,242.42 = 444.28 : x
  2. Step 2: Convert to fraction form
    828.28/1,242.42 = 444.28/x
  3. Step 3: Cross multiply
    828.28x = 1,242.42 × 444.28
  4. Step 4: Simplify right side
    828.28x = 551,982.36
  5. Step 5: Solve for x
    x = 551,982.36/828.28
  6. Step 6: Final answer
    x = 666.42

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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.