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Finding the Fourth Proportional to 1,299.16, 1,946.17 and 681.94

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Solution

The fourth proportional to 1,299.16, 1,946.17 and 681.94 is: 1,021.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.16 : 1,946.17 = 681.94 : x
  2. Step 2: Convert to fraction form
    1,299.16/1,946.17 = 681.94/x
  3. Step 3: Cross multiply
    1,299.16x = 1,946.17 × 681.94
  4. Step 4: Simplify right side
    1,299.16x = 1,327,171.17
  5. Step 5: Solve for x
    x = 1,327,171.17/1,299.16
  6. Step 6: Final answer
    x = 1,021.56

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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.