Home / 1,619.53-2,429.37-523.98

Finding the Fourth Proportional to 1,619.53, 2,429.37 and 523.98

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Solution

The fourth proportional to 1,619.53, 2,429.37 and 523.98 is: 785.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.53 : 2,429.37 = 523.98 : x
  2. Step 2: Convert to fraction form
    1,619.53/2,429.37 = 523.98/x
  3. Step 3: Cross multiply
    1,619.53x = 2,429.37 × 523.98
  4. Step 4: Simplify right side
    1,619.53x = 1,272,939.77
  5. Step 5: Solve for x
    x = 1,272,939.77/1,619.53
  6. Step 6: Final answer
    x = 785.99

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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.