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Finding the Fourth Proportional to 1,020.11, 1,407.80 and 627.26

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Solution

The fourth proportional to 1,020.11, 1,407.80 and 627.26 is: 865.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.11 : 1,407.80 = 627.26 : x
  2. Step 2: Convert to fraction form
    1,020.11/1,407.80 = 627.26/x
  3. Step 3: Cross multiply
    1,020.11x = 1,407.80 × 627.26
  4. Step 4: Simplify right side
    1,020.11x = 883,053.49
  5. Step 5: Solve for x
    x = 883,053.49/1,020.11
  6. Step 6: Final answer
    x = 865.65

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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.