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Finding the Fourth Proportional to 606.25, 836.63 and 431.90

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Solution

The fourth proportional to 606.25, 836.63 and 431.90 is: 596.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.25 : 836.63 = 431.90 : x
  2. Step 2: Convert to fraction form
    606.25/836.63 = 431.90/x
  3. Step 3: Cross multiply
    606.25x = 836.63 × 431.90
  4. Step 4: Simplify right side
    606.25x = 361,340.50
  5. Step 5: Solve for x
    x = 361,340.50/606.25
  6. Step 6: Final answer
    x = 596.03

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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.