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Finding the Fourth Proportional to 1,022.81, 1,532.70 and 849.68

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Solution

The fourth proportional to 1,022.81, 1,532.70 and 849.68 is: 1,273.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.81 : 1,532.70 = 849.68 : x
  2. Step 2: Convert to fraction form
    1,022.81/1,532.70 = 849.68/x
  3. Step 3: Cross multiply
    1,022.81x = 1,532.70 × 849.68
  4. Step 4: Simplify right side
    1,022.81x = 1,302,296.87
  5. Step 5: Solve for x
    x = 1,302,296.87/1,022.81
  6. Step 6: Final answer
    x = 1,273.25

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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.