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Finding the Fourth Proportional to 1,296.91, 1,946.18 and 681.05

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Solution

The fourth proportional to 1,296.91, 1,946.18 and 681.05 is: 1,022.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.91 : 1,946.18 = 681.05 : x
  2. Step 2: Convert to fraction form
    1,296.91/1,946.18 = 681.05/x
  3. Step 3: Cross multiply
    1,296.91x = 1,946.18 × 681.05
  4. Step 4: Simplify right side
    1,296.91x = 1,325,452.46
  5. Step 5: Solve for x
    x = 1,325,452.46/1,296.91
  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.