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Finding the Fourth Proportional to 1,763.43, 2,433.36 and 1,007.22

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Solution

The fourth proportional to 1,763.43, 2,433.36 and 1,007.22 is: 1,389.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.43 : 2,433.36 = 1,007.22 : x
  2. Step 2: Convert to fraction form
    1,763.43/2,433.36 = 1,007.22/x
  3. Step 3: Cross multiply
    1,763.43x = 2,433.36 × 1,007.22
  4. Step 4: Simplify right side
    1,763.43x = 2,450,928.86
  5. Step 5: Solve for x
    x = 2,450,928.86/1,763.43
  6. Step 6: Final answer
    x = 1,389.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.