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Finding the Fourth Proportional to 824.34, 1,241.39 and 717.42

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Solution

The fourth proportional to 824.34, 1,241.39 and 717.42 is: 1,080.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.34 : 1,241.39 = 717.42 : x
  2. Step 2: Convert to fraction form
    824.34/1,241.39 = 717.42/x
  3. Step 3: Cross multiply
    824.34x = 1,241.39 × 717.42
  4. Step 4: Simplify right side
    824.34x = 890,598.01
  5. Step 5: Solve for x
    x = 890,598.01/824.34
  6. Step 6: Final answer
    x = 1,080.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.