Home / 1,108.16-1,663.32-905.22

Finding the Fourth Proportional to 1,108.16, 1,663.32 and 905.22

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Solution

The fourth proportional to 1,108.16, 1,663.32 and 905.22 is: 1,358.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.16 : 1,663.32 = 905.22 : x
  2. Step 2: Convert to fraction form
    1,108.16/1,663.32 = 905.22/x
  3. Step 3: Cross multiply
    1,108.16x = 1,663.32 × 905.22
  4. Step 4: Simplify right side
    1,108.16x = 1,505,670.53
  5. Step 5: Solve for x
    x = 1,505,670.53/1,108.16
  6. Step 6: Final answer
    x = 1,358.71

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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.