Home / 1,109.13-1,664.45-459.86

Finding the Fourth Proportional to 1,109.13, 1,664.45 and 459.86

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Solution

The fourth proportional to 1,109.13, 1,664.45 and 459.86 is: 690.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.13 : 1,664.45 = 459.86 : x
  2. Step 2: Convert to fraction form
    1,109.13/1,664.45 = 459.86/x
  3. Step 3: Cross multiply
    1,109.13x = 1,664.45 × 459.86
  4. Step 4: Simplify right side
    1,109.13x = 765,403.36
  5. Step 5: Solve for x
    x = 765,403.36/1,109.13
  6. Step 6: Final answer
    x = 690.09

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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.