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Finding the Fourth Proportional to 1,452.95, 2,005.12 and 789.85

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Solution

The fourth proportional to 1,452.95, 2,005.12 and 789.85 is: 1,090.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.95 : 2,005.12 = 789.85 : x
  2. Step 2: Convert to fraction form
    1,452.95/2,005.12 = 789.85/x
  3. Step 3: Cross multiply
    1,452.95x = 2,005.12 × 789.85
  4. Step 4: Simplify right side
    1,452.95x = 1,583,744.03
  5. Step 5: Solve for x
    x = 1,583,744.03/1,452.95
  6. Step 6: Final answer
    x = 1,090.02

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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.