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Finding the Fourth Proportional to 1,454.45, 2,181.80 and 414.45

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Solution

The fourth proportional to 1,454.45, 2,181.80 and 414.45 is: 621.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.45 : 2,181.80 = 414.45 : x
  2. Step 2: Convert to fraction form
    1,454.45/2,181.80 = 414.45/x
  3. Step 3: Cross multiply
    1,454.45x = 2,181.80 × 414.45
  4. Step 4: Simplify right side
    1,454.45x = 904,244.94
  5. Step 5: Solve for x
    x = 904,244.94/1,454.45
  6. Step 6: Final answer
    x = 621.71

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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.