Home / 1,109.10-1,663.68-378.66

Finding the Fourth Proportional to 1,109.10, 1,663.68 and 378.66

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Solution

The fourth proportional to 1,109.10, 1,663.68 and 378.66 is: 568.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.10 : 1,663.68 = 378.66 : x
  2. Step 2: Convert to fraction form
    1,109.10/1,663.68 = 378.66/x
  3. Step 3: Cross multiply
    1,109.10x = 1,663.68 × 378.66
  4. Step 4: Simplify right side
    1,109.10x = 629,969.07
  5. Step 5: Solve for x
    x = 629,969.07/1,109.10
  6. Step 6: Final answer
    x = 568.00

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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.