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Finding the Fourth Proportional to 1,311.09, 1,965.82 and 790.76

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Solution

The fourth proportional to 1,311.09, 1,965.82 and 790.76 is: 1,185.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.09 : 1,965.82 = 790.76 : x
  2. Step 2: Convert to fraction form
    1,311.09/1,965.82 = 790.76/x
  3. Step 3: Cross multiply
    1,311.09x = 1,965.82 × 790.76
  4. Step 4: Simplify right side
    1,311.09x = 1,554,496.24
  5. Step 5: Solve for x
    x = 1,554,496.24/1,311.09
  6. Step 6: Final answer
    x = 1,185.66

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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.