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Finding the Fourth Proportional to 1,020.22, 1,407.20 and 627.44

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Solution

The fourth proportional to 1,020.22, 1,407.20 and 627.44 is: 865.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.22 : 1,407.20 = 627.44 : x
  2. Step 2: Convert to fraction form
    1,020.22/1,407.20 = 627.44/x
  3. Step 3: Cross multiply
    1,020.22x = 1,407.20 × 627.44
  4. Step 4: Simplify right side
    1,020.22x = 882,923.39
  5. Step 5: Solve for x
    x = 882,923.39/1,020.22
  6. Step 6: Final answer
    x = 865.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.