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Finding the Fourth Proportional to 1,406.43, 2,109.65 and 540.95

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Solution

The fourth proportional to 1,406.43, 2,109.65 and 540.95 is: 811.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.43 : 2,109.65 = 540.95 : x
  2. Step 2: Convert to fraction form
    1,406.43/2,109.65 = 540.95/x
  3. Step 3: Cross multiply
    1,406.43x = 2,109.65 × 540.95
  4. Step 4: Simplify right side
    1,406.43x = 1,141,201.91
  5. Step 5: Solve for x
    x = 1,141,201.91/1,406.43
  6. Step 6: Final answer
    x = 811.42

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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.