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Finding the Fourth Proportional to 606.30, 836.22 and 513.30

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Solution

The fourth proportional to 606.30, 836.22 and 513.30 is: 707.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.30 : 836.22 = 513.30 : x
  2. Step 2: Convert to fraction form
    606.30/836.22 = 513.30/x
  3. Step 3: Cross multiply
    606.30x = 836.22 × 513.30
  4. Step 4: Simplify right side
    606.30x = 429,231.73
  5. Step 5: Solve for x
    x = 429,231.73/606.30
  6. Step 6: Final answer
    x = 707.95

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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.