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Finding the Fourth Proportional to 1,209.73, 1,669.59 and 685.75

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Solution

The fourth proportional to 1,209.73, 1,669.59 and 685.75 is: 946.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.73 : 1,669.59 = 685.75 : x
  2. Step 2: Convert to fraction form
    1,209.73/1,669.59 = 685.75/x
  3. Step 3: Cross multiply
    1,209.73x = 1,669.59 × 685.75
  4. Step 4: Simplify right side
    1,209.73x = 1,144,921.34
  5. Step 5: Solve for x
    x = 1,144,921.34/1,209.73
  6. Step 6: Final answer
    x = 946.43

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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.