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Finding the Fourth Proportional to 606.98, 909.74 and 423.38

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Solution

The fourth proportional to 606.98, 909.74 and 423.38 is: 634.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.98 : 909.74 = 423.38 : x
  2. Step 2: Convert to fraction form
    606.98/909.74 = 423.38/x
  3. Step 3: Cross multiply
    606.98x = 909.74 × 423.38
  4. Step 4: Simplify right side
    606.98x = 385,165.72
  5. Step 5: Solve for x
    x = 385,165.72/606.98
  6. Step 6: Final answer
    x = 634.56

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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.