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Finding the Fourth Proportional to 677.27, 1,022.27 and 677.27

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Solution

The fourth proportional to 677.27, 1,022.27 and 677.27 is: 1,022.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.27 : 1,022.27 = 677.27 : x
  2. Step 2: Convert to fraction form
    677.27/1,022.27 = 677.27/x
  3. Step 3: Cross multiply
    677.27x = 1,022.27 × 677.27
  4. Step 4: Simplify right side
    677.27x = 692,344.31
  5. Step 5: Solve for x
    x = 692,344.31/677.27
  6. Step 6: Final answer
    x = 1,022.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.