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Finding the Fourth Proportional to 1,309.30, 1,963.94 and 539.26

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Solution

The fourth proportional to 1,309.30, 1,963.94 and 539.26 is: 808.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.30 : 1,963.94 = 539.26 : x
  2. Step 2: Convert to fraction form
    1,309.30/1,963.94 = 539.26/x
  3. Step 3: Cross multiply
    1,309.30x = 1,963.94 × 539.26
  4. Step 4: Simplify right side
    1,309.30x = 1,059,074.28
  5. Step 5: Solve for x
    x = 1,059,074.28/1,309.30
  6. Step 6: Final answer
    x = 808.89

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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.