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Finding the Fourth Proportional to 1,448.12, 2,172.08 and 625.82

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Solution

The fourth proportional to 1,448.12, 2,172.08 and 625.82 is: 938.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.12 : 2,172.08 = 625.82 : x
  2. Step 2: Convert to fraction form
    1,448.12/2,172.08 = 625.82/x
  3. Step 3: Cross multiply
    1,448.12x = 2,172.08 × 625.82
  4. Step 4: Simplify right side
    1,448.12x = 1,359,331.11
  5. Step 5: Solve for x
    x = 1,359,331.11/1,448.12
  6. Step 6: Final answer
    x = 938.69

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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.