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Finding the Fourth Proportional to 1,447.06, 2,168.97 and 626.02

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Solution

The fourth proportional to 1,447.06, 2,168.97 and 626.02 is: 938.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.06 : 2,168.97 = 626.02 : x
  2. Step 2: Convert to fraction form
    1,447.06/2,168.97 = 626.02/x
  3. Step 3: Cross multiply
    1,447.06x = 2,168.97 × 626.02
  4. Step 4: Simplify right side
    1,447.06x = 1,357,818.60
  5. Step 5: Solve for x
    x = 1,357,818.60/1,447.06
  6. Step 6: Final answer
    x = 938.33

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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.