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Finding the Fourth Proportional to 597.72, 824.56 and 349

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Solution

The fourth proportional to 597.72, 824.56 and 349 is: 481.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.72 : 824.56 = 349 : x
  2. Step 2: Convert to fraction form
    597.72/824.56 = 349/x
  3. Step 3: Cross multiply
    597.72x = 824.56 × 349
  4. Step 4: Simplify right side
    597.72x = 287,771.44
  5. Step 5: Solve for x
    x = 287,771.44/597.72
  6. Step 6: Final answer
    x = 481.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.