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Finding the Fourth Proportional to 790.99, 1,091.34 and 496.57

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Solution

The fourth proportional to 790.99, 1,091.34 and 496.57 is: 685.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.99 : 1,091.34 = 496.57 : x
  2. Step 2: Convert to fraction form
    790.99/1,091.34 = 496.57/x
  3. Step 3: Cross multiply
    790.99x = 1,091.34 × 496.57
  4. Step 4: Simplify right side
    790.99x = 541,926.70
  5. Step 5: Solve for x
    x = 541,926.70/790.99
  6. Step 6: Final answer
    x = 685.12

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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.