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Finding the Fourth Proportional to 850.11, 1,272.51 and 654.60

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Solution

The fourth proportional to 850.11, 1,272.51 and 654.60 is: 979.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.11 : 1,272.51 = 654.60 : x
  2. Step 2: Convert to fraction form
    850.11/1,272.51 = 654.60/x
  3. Step 3: Cross multiply
    850.11x = 1,272.51 × 654.60
  4. Step 4: Simplify right side
    850.11x = 832,980.23
  5. Step 5: Solve for x
    x = 832,980.23/850.11
  6. Step 6: Final answer
    x = 979.86

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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.