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Finding the Fourth Proportional to 1,100.43, 1,657.13 and 794.43

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Solution

The fourth proportional to 1,100.43, 1,657.13 and 794.43 is: 1,196.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.43 : 1,657.13 = 794.43 : x
  2. Step 2: Convert to fraction form
    1,100.43/1,657.13 = 794.43/x
  3. Step 3: Cross multiply
    1,100.43x = 1,657.13 × 794.43
  4. Step 4: Simplify right side
    1,100.43x = 1,316,469.81
  5. Step 5: Solve for x
    x = 1,316,469.81/1,100.43
  6. Step 6: Final answer
    x = 1,196.32

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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.