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Finding the Fourth Proportional to 1,323.87, 1,986.20 and 399.46

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Solution

The fourth proportional to 1,323.87, 1,986.20 and 399.46 is: 599.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.87 : 1,986.20 = 399.46 : x
  2. Step 2: Convert to fraction form
    1,323.87/1,986.20 = 399.46/x
  3. Step 3: Cross multiply
    1,323.87x = 1,986.20 × 399.46
  4. Step 4: Simplify right side
    1,323.87x = 793,407.96
  5. Step 5: Solve for x
    x = 793,407.96/1,323.87
  6. Step 6: Final answer
    x = 599.31

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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.