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Finding the Fourth Proportional to 617.12, 851.22 and 368.26

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Solution

The fourth proportional to 617.12, 851.22 and 368.26 is: 507.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.12 : 851.22 = 368.26 : x
  2. Step 2: Convert to fraction form
    617.12/851.22 = 368.26/x
  3. Step 3: Cross multiply
    617.12x = 851.22 × 368.26
  4. Step 4: Simplify right side
    617.12x = 313,470.28
  5. Step 5: Solve for x
    x = 313,470.28/617.12
  6. Step 6: Final answer
    x = 507.96

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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.