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Finding the Fourth Proportional to 606.89, 837.74 and 459.88

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Solution

The fourth proportional to 606.89, 837.74 and 459.88 is: 634.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.89 : 837.74 = 459.88 : x
  2. Step 2: Convert to fraction form
    606.89/837.74 = 459.88/x
  3. Step 3: Cross multiply
    606.89x = 837.74 × 459.88
  4. Step 4: Simplify right side
    606.89x = 385,258.93
  5. Step 5: Solve for x
    x = 385,258.93/606.89
  6. Step 6: Final answer
    x = 634.81

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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.