Home / 1,297.18-1,946.10-680.72

Finding the Fourth Proportional to 1,297.18, 1,946.10 and 680.72

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Solution

The fourth proportional to 1,297.18, 1,946.10 and 680.72 is: 1,021.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.18 : 1,946.10 = 680.72 : x
  2. Step 2: Convert to fraction form
    1,297.18/1,946.10 = 680.72/x
  3. Step 3: Cross multiply
    1,297.18x = 1,946.10 × 680.72
  4. Step 4: Simplify right side
    1,297.18x = 1,324,739.46
  5. Step 5: Solve for x
    x = 1,324,739.46/1,297.18
  6. Step 6: Final answer
    x = 1,021.25

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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.