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Finding the Fourth Proportional to 1,433.54, 2,149.32 and 459.92

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Solution

The fourth proportional to 1,433.54, 2,149.32 and 459.92 is: 689.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.54 : 2,149.32 = 459.92 : x
  2. Step 2: Convert to fraction form
    1,433.54/2,149.32 = 459.92/x
  3. Step 3: Cross multiply
    1,433.54x = 2,149.32 × 459.92
  4. Step 4: Simplify right side
    1,433.54x = 988,515.25
  5. Step 5: Solve for x
    x = 988,515.25/1,433.54
  6. Step 6: Final answer
    x = 689.56

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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.