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Finding the Fourth Proportional to 851.10, 1,175.66 and 685.95

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Solution

The fourth proportional to 851.10, 1,175.66 and 685.95 is: 947.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.10 : 1,175.66 = 685.95 : x
  2. Step 2: Convert to fraction form
    851.10/1,175.66 = 685.95/x
  3. Step 3: Cross multiply
    851.10x = 1,175.66 × 685.95
  4. Step 4: Simplify right side
    851.10x = 806,443.98
  5. Step 5: Solve for x
    x = 806,443.98/851.10
  6. Step 6: Final answer
    x = 947.53

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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.