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Finding the Fourth Proportional to 1,309.97, 1,965.26 and 579.75

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Solution

The fourth proportional to 1,309.97, 1,965.26 and 579.75 is: 869.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.97 : 1,965.26 = 579.75 : x
  2. Step 2: Convert to fraction form
    1,309.97/1,965.26 = 579.75/x
  3. Step 3: Cross multiply
    1,309.97x = 1,965.26 × 579.75
  4. Step 4: Simplify right side
    1,309.97x = 1,139,356.59
  5. Step 5: Solve for x
    x = 1,139,356.59/1,309.97
  6. Step 6: Final answer
    x = 869.76

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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.