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Finding the Fourth Proportional to 1,297.77, 1,947.19 and 682.02

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Solution

The fourth proportional to 1,297.77, 1,947.19 and 682.02 is: 1,023.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.77 : 1,947.19 = 682.02 : x
  2. Step 2: Convert to fraction form
    1,297.77/1,947.19 = 682.02/x
  3. Step 3: Cross multiply
    1,297.77x = 1,947.19 × 682.02
  4. Step 4: Simplify right side
    1,297.77x = 1,328,022.10
  5. Step 5: Solve for x
    x = 1,328,022.10/1,297.77
  6. Step 6: Final answer
    x = 1,023.31

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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.