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Finding the Fourth Proportional to 1,288.43, 1,940.21 and 925.76

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Solution

The fourth proportional to 1,288.43, 1,940.21 and 925.76 is: 1,394.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.43 : 1,940.21 = 925.76 : x
  2. Step 2: Convert to fraction form
    1,288.43/1,940.21 = 925.76/x
  3. Step 3: Cross multiply
    1,288.43x = 1,940.21 × 925.76
  4. Step 4: Simplify right side
    1,288.43x = 1,796,154.48
  5. Step 5: Solve for x
    x = 1,796,154.48/1,288.43
  6. Step 6: Final answer
    x = 1,394.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.