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Finding the Fourth Proportional to 1,448.51, 2,172.75 and 352.89

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Solution

The fourth proportional to 1,448.51, 2,172.75 and 352.89 is: 529.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.51 : 2,172.75 = 352.89 : x
  2. Step 2: Convert to fraction form
    1,448.51/2,172.75 = 352.89/x
  3. Step 3: Cross multiply
    1,448.51x = 2,172.75 × 352.89
  4. Step 4: Simplify right side
    1,448.51x = 766,729.12
  5. Step 5: Solve for x
    x = 766,729.12/1,448.51
  6. Step 6: Final answer
    x = 529.32

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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.