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Finding the Fourth Proportional to 1,299.81, 1,946.07 and 682.14

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Solution

The fourth proportional to 1,299.81, 1,946.07 and 682.14 is: 1,021.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.81 : 1,946.07 = 682.14 : x
  2. Step 2: Convert to fraction form
    1,299.81/1,946.07 = 682.14/x
  3. Step 3: Cross multiply
    1,299.81x = 1,946.07 × 682.14
  4. Step 4: Simplify right side
    1,299.81x = 1,327,492.19
  5. Step 5: Solve for x
    x = 1,327,492.19/1,299.81
  6. Step 6: Final answer
    x = 1,021.30

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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.