Home / 1,619.32-2,428.62-465.16

Finding the Fourth Proportional to 1,619.32, 2,428.62 and 465.16

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Solution

The fourth proportional to 1,619.32, 2,428.62 and 465.16 is: 697.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.32 : 2,428.62 = 465.16 : x
  2. Step 2: Convert to fraction form
    1,619.32/2,428.62 = 465.16/x
  3. Step 3: Cross multiply
    1,619.32x = 2,428.62 × 465.16
  4. Step 4: Simplify right side
    1,619.32x = 1,129,696.88
  5. Step 5: Solve for x
    x = 1,129,696.88/1,619.32
  6. Step 6: Final answer
    x = 697.64

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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.