Home / 1,433.45-2,150.48-459.54

Finding the Fourth Proportional to 1,433.45, 2,150.48 and 459.54

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Solution

The fourth proportional to 1,433.45, 2,150.48 and 459.54 is: 689.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.45 : 2,150.48 = 459.54 : x
  2. Step 2: Convert to fraction form
    1,433.45/2,150.48 = 459.54/x
  3. Step 3: Cross multiply
    1,433.45x = 2,150.48 × 459.54
  4. Step 4: Simplify right side
    1,433.45x = 988,232.73
  5. Step 5: Solve for x
    x = 988,232.73/1,433.45
  6. Step 6: Final answer
    x = 689.41

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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.