Home / 1,108.10-1,662.30-414.60

Finding the Fourth Proportional to 1,108.10, 1,662.30 and 414.60

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Solution

The fourth proportional to 1,108.10, 1,662.30 and 414.60 is: 621.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.10 : 1,662.30 = 414.60 : x
  2. Step 2: Convert to fraction form
    1,108.10/1,662.30 = 414.60/x
  3. Step 3: Cross multiply
    1,108.10x = 1,662.30 × 414.60
  4. Step 4: Simplify right side
    1,108.10x = 689,189.58
  5. Step 5: Solve for x
    x = 689,189.58/1,108.10
  6. Step 6: Final answer
    x = 621.96

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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.