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Finding the Fourth Proportional to 606.88, 838.11 and 496.72

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Solution

The fourth proportional to 606.88, 838.11 and 496.72 is: 685.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.88 : 838.11 = 496.72 : x
  2. Step 2: Convert to fraction form
    606.88/838.11 = 496.72/x
  3. Step 3: Cross multiply
    606.88x = 838.11 × 496.72
  4. Step 4: Simplify right side
    606.88x = 416,306.00
  5. Step 5: Solve for x
    x = 416,306.00/606.88
  6. Step 6: Final answer
    x = 685.98

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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.