Home / 1,499.40-2,249.28-459.44

Finding the Fourth Proportional to 1,499.40, 2,249.28 and 459.44

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Solution

The fourth proportional to 1,499.40, 2,249.28 and 459.44 is: 689.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.40 : 2,249.28 = 459.44 : x
  2. Step 2: Convert to fraction form
    1,499.40/2,249.28 = 459.44/x
  3. Step 3: Cross multiply
    1,499.40x = 2,249.28 × 459.44
  4. Step 4: Simplify right side
    1,499.40x = 1,033,409.20
  5. Step 5: Solve for x
    x = 1,033,409.20/1,499.40
  6. Step 6: Final answer
    x = 689.22

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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.