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Finding the Fourth Proportional to 850.68, 1,175.46 and 664.64

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Solution

The fourth proportional to 850.68, 1,175.46 and 664.64 is: 918.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.68 : 1,175.46 = 664.64 : x
  2. Step 2: Convert to fraction form
    850.68/1,175.46 = 664.64/x
  3. Step 3: Cross multiply
    850.68x = 1,175.46 × 664.64
  4. Step 4: Simplify right side
    850.68x = 781,257.73
  5. Step 5: Solve for x
    x = 781,257.73/850.68
  6. Step 6: Final answer
    x = 918.39

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1.5x scale

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.