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Finding the Fourth Proportional to 1,108.33, 1,662.53 and 414.83

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Solution

The fourth proportional to 1,108.33, 1,662.53 and 414.83 is: 622.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.33 : 1,662.53 = 414.83 : x
  2. Step 2: Convert to fraction form
    1,108.33/1,662.53 = 414.83/x
  3. Step 3: Cross multiply
    1,108.33x = 1,662.53 × 414.83
  4. Step 4: Simplify right side
    1,108.33x = 689,669.40
  5. Step 5: Solve for x
    x = 689,669.40/1,108.33
  6. Step 6: Final answer
    x = 622.26

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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.