Home / 1,209.96-1,670.03-789.57

Finding the Fourth Proportional to 1,209.96, 1,670.03 and 789.57

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Solution

The fourth proportional to 1,209.96, 1,670.03 and 789.57 is: 1,089.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.96 : 1,670.03 = 789.57 : x
  2. Step 2: Convert to fraction form
    1,209.96/1,670.03 = 789.57/x
  3. Step 3: Cross multiply
    1,209.96x = 1,670.03 × 789.57
  4. Step 4: Simplify right side
    1,209.96x = 1,318,601.64
  5. Step 5: Solve for x
    x = 1,318,601.64/1,209.96
  6. Step 6: Final answer
    x = 1,089.79

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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.