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Finding the Fourth Proportional to 1,110.91, 1,533.07 and 669.11

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Solution

The fourth proportional to 1,110.91, 1,533.07 and 669.11 is: 923.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.91 : 1,533.07 = 669.11 : x
  2. Step 2: Convert to fraction form
    1,110.91/1,533.07 = 669.11/x
  3. Step 3: Cross multiply
    1,110.91x = 1,533.07 × 669.11
  4. Step 4: Simplify right side
    1,110.91x = 1,025,786.96
  5. Step 5: Solve for x
    x = 1,025,786.96/1,110.91
  6. Step 6: Final answer
    x = 923.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.