Home / 1,448.41-2,172.70-408.50

Finding the Fourth Proportional to 1,448.41, 2,172.70 and 408.50

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Solution

The fourth proportional to 1,448.41, 2,172.70 and 408.50 is: 612.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.41 : 2,172.70 = 408.50 : x
  2. Step 2: Convert to fraction form
    1,448.41/2,172.70 = 408.50/x
  3. Step 3: Cross multiply
    1,448.41x = 2,172.70 × 408.50
  4. Step 4: Simplify right side
    1,448.41x = 887,547.95
  5. Step 5: Solve for x
    x = 887,547.95/1,448.41
  6. Step 6: Final answer
    x = 612.77

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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.