Home / 1,448.14-2,172.62-523.66

Finding the Fourth Proportional to 1,448.14, 2,172.62 and 523.66

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Solution

The fourth proportional to 1,448.14, 2,172.62 and 523.66 is: 785.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.14 : 2,172.62 = 523.66 : x
  2. Step 2: Convert to fraction form
    1,448.14/2,172.62 = 523.66/x
  3. Step 3: Cross multiply
    1,448.14x = 2,172.62 × 523.66
  4. Step 4: Simplify right side
    1,448.14x = 1,137,714.19
  5. Step 5: Solve for x
    x = 1,137,714.19/1,448.14
  6. Step 6: Final answer
    x = 785.64

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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.