Home / 1,619.92-2,429.88-465.76

Finding the Fourth Proportional to 1,619.92, 2,429.88 and 465.76

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Solution

The fourth proportional to 1,619.92, 2,429.88 and 465.76 is: 698.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.92 : 2,429.88 = 465.76 : x
  2. Step 2: Convert to fraction form
    1,619.92/2,429.88 = 465.76/x
  3. Step 3: Cross multiply
    1,619.92x = 2,429.88 × 465.76
  4. Step 4: Simplify right side
    1,619.92x = 1,131,740.91
  5. Step 5: Solve for x
    x = 1,131,740.91/1,619.92
  6. Step 6: Final answer
    x = 698.64

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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.