Home / 1,619.62-2,429.81-523.89

Finding the Fourth Proportional to 1,619.62, 2,429.81 and 523.89

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Solution

The fourth proportional to 1,619.62, 2,429.81 and 523.89 is: 785.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.62 : 2,429.81 = 523.89 : x
  2. Step 2: Convert to fraction form
    1,619.62/2,429.81 = 523.89/x
  3. Step 3: Cross multiply
    1,619.62x = 2,429.81 × 523.89
  4. Step 4: Simplify right side
    1,619.62x = 1,272,953.16
  5. Step 5: Solve for x
    x = 1,272,953.16/1,619.62
  6. Step 6: Final answer
    x = 785.96

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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.