Home / 1,297.04-1,946.64-680.96

Finding the Fourth Proportional to 1,297.04, 1,946.64 and 680.96

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Solution

The fourth proportional to 1,297.04, 1,946.64 and 680.96 is: 1,022.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.04 : 1,946.64 = 680.96 : x
  2. Step 2: Convert to fraction form
    1,297.04/1,946.64 = 680.96/x
  3. Step 3: Cross multiply
    1,297.04x = 1,946.64 × 680.96
  4. Step 4: Simplify right side
    1,297.04x = 1,325,583.97
  5. Step 5: Solve for x
    x = 1,325,583.97/1,297.04
  6. Step 6: Final answer
    x = 1,022.01

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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.