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Finding the Fourth Proportional to 489.47, 733.52 and 344.88

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Solution

The fourth proportional to 489.47, 733.52 and 344.88 is: 516.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.47 : 733.52 = 344.88 : x
  2. Step 2: Convert to fraction form
    489.47/733.52 = 344.88/x
  3. Step 3: Cross multiply
    489.47x = 733.52 × 344.88
  4. Step 4: Simplify right side
    489.47x = 252,977.24
  5. Step 5: Solve for x
    x = 252,977.24/489.47
  6. Step 6: Final answer
    x = 516.84

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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.