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Finding the Fourth Proportional to 606.58, 836.72 and 459.78

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Solution

The fourth proportional to 606.58, 836.72 and 459.78 is: 634.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.58 : 836.72 = 459.78 : x
  2. Step 2: Convert to fraction form
    606.58/836.72 = 459.78/x
  3. Step 3: Cross multiply
    606.58x = 836.72 × 459.78
  4. Step 4: Simplify right side
    606.58x = 384,707.12
  5. Step 5: Solve for x
    x = 384,707.12/606.58
  6. Step 6: Final answer
    x = 634.22

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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.