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Finding the Fourth Proportional to 1,452.67, 2,004.70 and 789.53

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Solution

The fourth proportional to 1,452.67, 2,004.70 and 789.53 is: 1,089.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.67 : 2,004.70 = 789.53 : x
  2. Step 2: Convert to fraction form
    1,452.67/2,004.70 = 789.53/x
  3. Step 3: Cross multiply
    1,452.67x = 2,004.70 × 789.53
  4. Step 4: Simplify right side
    1,452.67x = 1,582,770.79
  5. Step 5: Solve for x
    x = 1,582,770.79/1,452.67
  6. Step 6: Final answer
    x = 1,089.56

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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.