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Finding the Fourth Proportional to 2,954.03, 4,430.68 and 762.91

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Solution

The fourth proportional to 2,954.03, 4,430.68 and 762.91 is: 1,144.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.03 : 4,430.68 = 762.91 : x
  2. Step 2: Convert to fraction form
    2,954.03/4,430.68 = 762.91/x
  3. Step 3: Cross multiply
    2,954.03x = 4,430.68 × 762.91
  4. Step 4: Simplify right side
    2,954.03x = 3,380,197.09
  5. Step 5: Solve for x
    x = 3,380,197.09/2,954.03
  6. Step 6: Final answer
    x = 1,144.27

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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.