Home / 1,448.25-2,172.36-523.45

Finding the Fourth Proportional to 1,448.25, 2,172.36 and 523.45

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Solution

The fourth proportional to 1,448.25, 2,172.36 and 523.45 is: 785.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.25 : 2,172.36 = 523.45 : x
  2. Step 2: Convert to fraction form
    1,448.25/2,172.36 = 523.45/x
  3. Step 3: Cross multiply
    1,448.25x = 2,172.36 × 523.45
  4. Step 4: Simplify right side
    1,448.25x = 1,137,124.66
  5. Step 5: Solve for x
    x = 1,137,124.66/1,448.25
  6. Step 6: Final answer
    x = 785.17

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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.