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Finding the Fourth Proportional to 1,209.78, 1,669.50 and 712.73

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Solution

The fourth proportional to 1,209.78, 1,669.50 and 712.73 is: 983.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.78 : 1,669.50 = 712.73 : x
  2. Step 2: Convert to fraction form
    1,209.78/1,669.50 = 712.73/x
  3. Step 3: Cross multiply
    1,209.78x = 1,669.50 × 712.73
  4. Step 4: Simplify right side
    1,209.78x = 1,189,902.74
  5. Step 5: Solve for x
    x = 1,189,902.74/1,209.78
  6. Step 6: Final answer
    x = 983.57

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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.