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Finding the Fourth Proportional to 1,309.31, 1,964.87 and 539.81

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Solution

The fourth proportional to 1,309.31, 1,964.87 and 539.81 is: 810.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.31 : 1,964.87 = 539.81 : x
  2. Step 2: Convert to fraction form
    1,309.31/1,964.87 = 539.81/x
  3. Step 3: Cross multiply
    1,309.31x = 1,964.87 × 539.81
  4. Step 4: Simplify right side
    1,309.31x = 1,060,662.74
  5. Step 5: Solve for x
    x = 1,060,662.74/1,309.31
  6. Step 6: Final answer
    x = 810.09

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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.