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Finding the Fourth Proportional to 1,668.53, 2,501.13 and 789.47

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Solution

The fourth proportional to 1,668.53, 2,501.13 and 789.47 is: 1,183.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.53 : 2,501.13 = 789.47 : x
  2. Step 2: Convert to fraction form
    1,668.53/2,501.13 = 789.47/x
  3. Step 3: Cross multiply
    1,668.53x = 2,501.13 × 789.47
  4. Step 4: Simplify right side
    1,668.53x = 1,974,566.94
  5. Step 5: Solve for x
    x = 1,974,566.94/1,668.53
  6. Step 6: Final answer
    x = 1,183.42

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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.