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Finding the Fourth Proportional to 851.76, 1,173.67 and 685.31

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Solution

The fourth proportional to 851.76, 1,173.67 and 685.31 is: 944.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.76 : 1,173.67 = 685.31 : x
  2. Step 2: Convert to fraction form
    851.76/1,173.67 = 685.31/x
  3. Step 3: Cross multiply
    851.76x = 1,173.67 × 685.31
  4. Step 4: Simplify right side
    851.76x = 804,320.21
  5. Step 5: Solve for x
    x = 804,320.21/851.76
  6. Step 6: Final answer
    x = 944.30

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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.