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Finding the Fourth Proportional to 851.64, 1,173.50 and 685.18

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Solution

The fourth proportional to 851.64, 1,173.50 and 685.18 is: 944.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.64 : 1,173.50 = 685.18 : x
  2. Step 2: Convert to fraction form
    851.64/1,173.50 = 685.18/x
  3. Step 3: Cross multiply
    851.64x = 1,173.50 × 685.18
  4. Step 4: Simplify right side
    851.64x = 804,058.73
  5. Step 5: Solve for x
    x = 804,058.73/851.64
  6. Step 6: Final answer
    x = 944.13

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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.