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Finding the Fourth Proportional to 617.08, 926.06 and 343.39

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Solution

The fourth proportional to 617.08, 926.06 and 343.39 is: 515.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.08 : 926.06 = 343.39 : x
  2. Step 2: Convert to fraction form
    617.08/926.06 = 343.39/x
  3. Step 3: Cross multiply
    617.08x = 926.06 × 343.39
  4. Step 4: Simplify right side
    617.08x = 317,999.74
  5. Step 5: Solve for x
    x = 317,999.74/617.08
  6. Step 6: Final answer
    x = 515.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.