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Finding the Fourth Proportional to 614.39, 847.84 and 338.39

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Solution

The fourth proportional to 614.39, 847.84 and 338.39 is: 466.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.39 : 847.84 = 338.39 : x
  2. Step 2: Convert to fraction form
    614.39/847.84 = 338.39/x
  3. Step 3: Cross multiply
    614.39x = 847.84 × 338.39
  4. Step 4: Simplify right side
    614.39x = 286,896.34
  5. Step 5: Solve for x
    x = 286,896.34/614.39
  6. Step 6: Final answer
    x = 466.97

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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.