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Finding the Fourth Proportional to 1,405.13, 2,107.97 and 539.38

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Solution

The fourth proportional to 1,405.13, 2,107.97 and 539.38 is: 809.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.13 : 2,107.97 = 539.38 : x
  2. Step 2: Convert to fraction form
    1,405.13/2,107.97 = 539.38/x
  3. Step 3: Cross multiply
    1,405.13x = 2,107.97 × 539.38
  4. Step 4: Simplify right side
    1,405.13x = 1,136,983.62
  5. Step 5: Solve for x
    x = 1,136,983.62/1,405.13
  6. Step 6: Final answer
    x = 809.17

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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.