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Finding the Fourth Proportional to 1,322.79, 1,981.14 and 1,028.76

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Solution

The fourth proportional to 1,322.79, 1,981.14 and 1,028.76 is: 1,540.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.79 : 1,981.14 = 1,028.76 : x
  2. Step 2: Convert to fraction form
    1,322.79/1,981.14 = 1,028.76/x
  3. Step 3: Cross multiply
    1,322.79x = 1,981.14 × 1,028.76
  4. Step 4: Simplify right side
    1,322.79x = 2,038,107.68
  5. Step 5: Solve for x
    x = 2,038,107.68/1,322.79
  6. Step 6: Final answer
    x = 1,540.77

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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.