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Finding the Fourth Proportional to 1,448.65, 2,172.87 and 408.63

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Solution

The fourth proportional to 1,448.65, 2,172.87 and 408.63 is: 612.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.65 : 2,172.87 = 408.63 : x
  2. Step 2: Convert to fraction form
    1,448.65/2,172.87 = 408.63/x
  3. Step 3: Cross multiply
    1,448.65x = 2,172.87 × 408.63
  4. Step 4: Simplify right side
    1,448.65x = 887,899.87
  5. Step 5: Solve for x
    x = 887,899.87/1,448.65
  6. Step 6: Final answer
    x = 612.92

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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.