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Finding the Fourth Proportional to 1,297.01, 1,790.26 and 1,230.87

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Solution

The fourth proportional to 1,297.01, 1,790.26 and 1,230.87 is: 1,698.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.01 : 1,790.26 = 1,230.87 : x
  2. Step 2: Convert to fraction form
    1,297.01/1,790.26 = 1,230.87/x
  3. Step 3: Cross multiply
    1,297.01x = 1,790.26 × 1,230.87
  4. Step 4: Simplify right side
    1,297.01x = 2,203,574.25
  5. Step 5: Solve for x
    x = 2,203,574.25/1,297.01
  6. Step 6: Final answer
    x = 1,698.96

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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.