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Finding the Fourth Proportional to 606.52, 909.48 and 298.24

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Solution

The fourth proportional to 606.52, 909.48 and 298.24 is: 447.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.52 : 909.48 = 298.24 : x
  2. Step 2: Convert to fraction form
    606.52/909.48 = 298.24/x
  3. Step 3: Cross multiply
    606.52x = 909.48 × 298.24
  4. Step 4: Simplify right side
    606.52x = 271,243.32
  5. Step 5: Solve for x
    x = 271,243.32/606.52
  6. Step 6: Final answer
    x = 447.21

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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.