Home / 1,448.16-2,172.32-582.36

Finding the Fourth Proportional to 1,448.16, 2,172.32 and 582.36

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Solution

The fourth proportional to 1,448.16, 2,172.32 and 582.36 is: 873.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.16 : 2,172.32 = 582.36 : x
  2. Step 2: Convert to fraction form
    1,448.16/2,172.32 = 582.36/x
  3. Step 3: Cross multiply
    1,448.16x = 2,172.32 × 582.36
  4. Step 4: Simplify right side
    1,448.16x = 1,265,072.28
  5. Step 5: Solve for x
    x = 1,265,072.28/1,448.16
  6. Step 6: Final answer
    x = 873.57

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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.