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Finding the Fourth Proportional to 1,301.92, 1,792.87 and 908.26

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Solution

The fourth proportional to 1,301.92, 1,792.87 and 908.26 is: 1,250.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.92 : 1,792.87 = 908.26 : x
  2. Step 2: Convert to fraction form
    1,301.92/1,792.87 = 908.26/x
  3. Step 3: Cross multiply
    1,301.92x = 1,792.87 × 908.26
  4. Step 4: Simplify right side
    1,301.92x = 1,628,392.11
  5. Step 5: Solve for x
    x = 1,628,392.11/1,301.92
  6. Step 6: Final answer
    x = 1,250.76

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Why These Related Problems?

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