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Finding the Fourth Proportional to 1,020.82, 1,407.90 and 627.70

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Solution

The fourth proportional to 1,020.82, 1,407.90 and 627.70 is: 865.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.82 : 1,407.90 = 627.70 : x
  2. Step 2: Convert to fraction form
    1,020.82/1,407.90 = 627.70/x
  3. Step 3: Cross multiply
    1,020.82x = 1,407.90 × 627.70
  4. Step 4: Simplify right side
    1,020.82x = 883,738.83
  5. Step 5: Solve for x
    x = 883,738.83/1,020.82
  6. Step 6: Final answer
    x = 865.71

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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.