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Finding the Fourth Proportional to 1,147.88, 1,720.38 and 762.68

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Solution

The fourth proportional to 1,147.88, 1,720.38 and 762.68 is: 1,143.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.88 : 1,720.38 = 762.68 : x
  2. Step 2: Convert to fraction form
    1,147.88/1,720.38 = 762.68/x
  3. Step 3: Cross multiply
    1,147.88x = 1,720.38 × 762.68
  4. Step 4: Simplify right side
    1,147.88x = 1,312,099.42
  5. Step 5: Solve for x
    x = 1,312,099.42/1,147.88
  6. Step 6: Final answer
    x = 1,143.06

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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.