Home / 1,109.15-1,663.66-329.12

Finding the Fourth Proportional to 1,109.15, 1,663.66 and 329.12

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Solution

The fourth proportional to 1,109.15, 1,663.66 and 329.12 is: 493.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.15 : 1,663.66 = 329.12 : x
  2. Step 2: Convert to fraction form
    1,109.15/1,663.66 = 329.12/x
  3. Step 3: Cross multiply
    1,109.15x = 1,663.66 × 329.12
  4. Step 4: Simplify right side
    1,109.15x = 547,543.78
  5. Step 5: Solve for x
    x = 547,543.78/1,109.15
  6. Step 6: Final answer
    x = 493.66

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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.