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Finding the Fourth Proportional to 1,407.86, 2,109.08 and 789.69

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Solution

The fourth proportional to 1,407.86, 2,109.08 and 789.69 is: 1,183.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.86 : 2,109.08 = 789.69 : x
  2. Step 2: Convert to fraction form
    1,407.86/2,109.08 = 789.69/x
  3. Step 3: Cross multiply
    1,407.86x = 2,109.08 × 789.69
  4. Step 4: Simplify right side
    1,407.86x = 1,665,515.44
  5. Step 5: Solve for x
    x = 1,665,515.44/1,407.86
  6. Step 6: Final answer
    x = 1,183.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.