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Finding the Fourth Proportional to 790.97, 1,091.75 and 634.68

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Solution

The fourth proportional to 790.97, 1,091.75 and 634.68 is: 876.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.97 : 1,091.75 = 634.68 : x
  2. Step 2: Convert to fraction form
    790.97/1,091.75 = 634.68/x
  3. Step 3: Cross multiply
    790.97x = 1,091.75 × 634.68
  4. Step 4: Simplify right side
    790.97x = 692,908.72
  5. Step 5: Solve for x
    x = 692,908.72/790.97
  6. Step 6: Final answer
    x = 876.03

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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.