Home / 1,433.67-2,150.34-459.65

Finding the Fourth Proportional to 1,433.67, 2,150.34 and 459.65

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Solution

The fourth proportional to 1,433.67, 2,150.34 and 459.65 is: 689.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.67 : 2,150.34 = 459.65 : x
  2. Step 2: Convert to fraction form
    1,433.67/2,150.34 = 459.65/x
  3. Step 3: Cross multiply
    1,433.67x = 2,150.34 × 459.65
  4. Step 4: Simplify right side
    1,433.67x = 988,403.78
  5. Step 5: Solve for x
    x = 988,403.78/1,433.67
  6. Step 6: Final answer
    x = 689.42

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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.