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Finding the Fourth Proportional to 1,499.84, 2,249.07 and 459.97

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Solution

The fourth proportional to 1,499.84, 2,249.07 and 459.97 is: 689.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.84 : 2,249.07 = 459.97 : x
  2. Step 2: Convert to fraction form
    1,499.84/2,249.07 = 459.97/x
  3. Step 3: Cross multiply
    1,499.84x = 2,249.07 × 459.97
  4. Step 4: Simplify right side
    1,499.84x = 1,034,504.73
  5. Step 5: Solve for x
    x = 1,034,504.73/1,499.84
  6. Step 6: Final answer
    x = 689.74

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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.