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Finding the Fourth Proportional to 1,452.82, 2,004.88 and 789.67

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Solution

The fourth proportional to 1,452.82, 2,004.88 and 789.67 is: 1,089.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.82 : 2,004.88 = 789.67 : x
  2. Step 2: Convert to fraction form
    1,452.82/2,004.88 = 789.67/x
  3. Step 3: Cross multiply
    1,452.82x = 2,004.88 × 789.67
  4. Step 4: Simplify right side
    1,452.82x = 1,583,183.57
  5. Step 5: Solve for x
    x = 1,583,183.57/1,452.82
  6. Step 6: Final answer
    x = 1,089.74

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1.5x scale

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.