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Finding the Fourth Proportional to 617.20, 850.68 and 469.60

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Solution

The fourth proportional to 617.20, 850.68 and 469.60 is: 647.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.20 : 850.68 = 469.60 : x
  2. Step 2: Convert to fraction form
    617.20/850.68 = 469.60/x
  3. Step 3: Cross multiply
    617.20x = 850.68 × 469.60
  4. Step 4: Simplify right side
    617.20x = 399,479.33
  5. Step 5: Solve for x
    x = 399,479.33/617.20
  6. Step 6: Final answer
    x = 647.24

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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.