Home / 1,499.24-2,249.14-459.13

Finding the Fourth Proportional to 1,499.24, 2,249.14 and 459.13

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Solution

The fourth proportional to 1,499.24, 2,249.14 and 459.13 is: 688.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.24 : 2,249.14 = 459.13 : x
  2. Step 2: Convert to fraction form
    1,499.24/2,249.14 = 459.13/x
  3. Step 3: Cross multiply
    1,499.24x = 2,249.14 × 459.13
  4. Step 4: Simplify right side
    1,499.24x = 1,032,647.65
  5. Step 5: Solve for x
    x = 1,032,647.65/1,499.24
  6. Step 6: Final answer
    x = 688.78

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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.