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Finding the Fourth Proportional to 498.52, 748.47 and 344.07

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Solution

The fourth proportional to 498.52, 748.47 and 344.07 is: 516.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.52 : 748.47 = 344.07 : x
  2. Step 2: Convert to fraction form
    498.52/748.47 = 344.07/x
  3. Step 3: Cross multiply
    498.52x = 748.47 × 344.07
  4. Step 4: Simplify right side
    498.52x = 257,525.49
  5. Step 5: Solve for x
    x = 257,525.49/498.52
  6. Step 6: Final answer
    x = 516.58

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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.