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Finding the Fourth Proportional to 1,448.73, 2,172.31 and 511.21

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Solution

The fourth proportional to 1,448.73, 2,172.31 and 511.21 is: 766.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.73 : 2,172.31 = 511.21 : x
  2. Step 2: Convert to fraction form
    1,448.73/2,172.31 = 511.21/x
  3. Step 3: Cross multiply
    1,448.73x = 2,172.31 × 511.21
  4. Step 4: Simplify right side
    1,448.73x = 1,110,495.73
  5. Step 5: Solve for x
    x = 1,110,495.73/1,448.73
  6. Step 6: Final answer
    x = 766.53

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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.