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Finding the Fourth Proportional to 790.75, 1,091.29 and 496.21

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Solution

The fourth proportional to 790.75, 1,091.29 and 496.21 is: 684.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.75 : 1,091.29 = 496.21 : x
  2. Step 2: Convert to fraction form
    790.75/1,091.29 = 496.21/x
  3. Step 3: Cross multiply
    790.75x = 1,091.29 × 496.21
  4. Step 4: Simplify right side
    790.75x = 541,509.01
  5. Step 5: Solve for x
    x = 541,509.01/790.75
  6. Step 6: Final answer
    x = 684.80

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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.