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Finding the Fourth Proportional to 1,107.43, 1,657.29 and 910.06

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Solution

The fourth proportional to 1,107.43, 1,657.29 and 910.06 is: 1,361.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.43 : 1,657.29 = 910.06 : x
  2. Step 2: Convert to fraction form
    1,107.43/1,657.29 = 910.06/x
  3. Step 3: Cross multiply
    1,107.43x = 1,657.29 × 910.06
  4. Step 4: Simplify right side
    1,107.43x = 1,508,233.34
  5. Step 5: Solve for x
    x = 1,508,233.34/1,107.43
  6. Step 6: Final answer
    x = 1,361.92

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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.