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Finding the Fourth Proportional to 1,309.37, 1,965.41 and 579.45

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Solution

The fourth proportional to 1,309.37, 1,965.41 and 579.45 is: 869.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.37 : 1,965.41 = 579.45 : x
  2. Step 2: Convert to fraction form
    1,309.37/1,965.41 = 579.45/x
  3. Step 3: Cross multiply
    1,309.37x = 1,965.41 × 579.45
  4. Step 4: Simplify right side
    1,309.37x = 1,138,866.73
  5. Step 5: Solve for x
    x = 1,138,866.73/1,309.37
  6. Step 6: Final answer
    x = 869.79

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1.5x scale

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.