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Finding the Fourth Proportional to 1,109.31, 1,664.79 and 416.65

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Solution

The fourth proportional to 1,109.31, 1,664.79 and 416.65 is: 625.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.31 : 1,664.79 = 416.65 : x
  2. Step 2: Convert to fraction form
    1,109.31/1,664.79 = 416.65/x
  3. Step 3: Cross multiply
    1,109.31x = 1,664.79 × 416.65
  4. Step 4: Simplify right side
    1,109.31x = 693,634.75
  5. Step 5: Solve for x
    x = 693,634.75/1,109.31
  6. Step 6: Final answer
    x = 625.28

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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.