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Finding the Fourth Proportional to 1,324.02, 1,986.33 and 446.50

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Solution

The fourth proportional to 1,324.02, 1,986.33 and 446.50 is: 669.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.02 : 1,986.33 = 446.50 : x
  2. Step 2: Convert to fraction form
    1,324.02/1,986.33 = 446.50/x
  3. Step 3: Cross multiply
    1,324.02x = 1,986.33 × 446.50
  4. Step 4: Simplify right side
    1,324.02x = 886,896.35
  5. Step 5: Solve for x
    x = 886,896.35/1,324.02
  6. Step 6: Final answer
    x = 669.85

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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.