Home / 1,109.90-1,664.85-329.91

Finding the Fourth Proportional to 1,109.90, 1,664.85 and 329.91

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Solution

The fourth proportional to 1,109.90, 1,664.85 and 329.91 is: 494.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.90 : 1,664.85 = 329.91 : x
  2. Step 2: Convert to fraction form
    1,109.90/1,664.85 = 329.91/x
  3. Step 3: Cross multiply
    1,109.90x = 1,664.85 × 329.91
  4. Step 4: Simplify right side
    1,109.90x = 549,250.66
  5. Step 5: Solve for x
    x = 549,250.66/1,109.90
  6. Step 6: Final answer
    x = 494.87

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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.