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Finding the Fourth Proportional to 617.01, 925.30 and 343.63

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Solution

The fourth proportional to 617.01, 925.30 and 343.63 is: 515.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.01 : 925.30 = 343.63 : x
  2. Step 2: Convert to fraction form
    617.01/925.30 = 343.63/x
  3. Step 3: Cross multiply
    617.01x = 925.30 × 343.63
  4. Step 4: Simplify right side
    617.01x = 317,960.84
  5. Step 5: Solve for x
    x = 317,960.84/617.01
  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.