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Finding the Fourth Proportional to 614.70, 847.79 and 496.64

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Solution

The fourth proportional to 614.70, 847.79 and 496.64 is: 684.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.70 : 847.79 = 496.64 : x
  2. Step 2: Convert to fraction form
    614.70/847.79 = 496.64/x
  3. Step 3: Cross multiply
    614.70x = 847.79 × 496.64
  4. Step 4: Simplify right side
    614.70x = 421,046.43
  5. Step 5: Solve for x
    x = 421,046.43/614.70
  6. Step 6: Final answer
    x = 684.96

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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.