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Finding the Fourth Proportional to 1,499.83, 2,249.87 and 459.75

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Solution

The fourth proportional to 1,499.83, 2,249.87 and 459.75 is: 689.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.83 : 2,249.87 = 459.75 : x
  2. Step 2: Convert to fraction form
    1,499.83/2,249.87 = 459.75/x
  3. Step 3: Cross multiply
    1,499.83x = 2,249.87 × 459.75
  4. Step 4: Simplify right side
    1,499.83x = 1,034,377.73
  5. Step 5: Solve for x
    x = 1,034,377.73/1,499.83
  6. Step 6: Final answer
    x = 689.66

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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.