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Finding the Fourth Proportional to 1,323.96, 1,986.86 and 458.27

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Solution

The fourth proportional to 1,323.96, 1,986.86 and 458.27 is: 687.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.96 : 1,986.86 = 458.27 : x
  2. Step 2: Convert to fraction form
    1,323.96/1,986.86 = 458.27/x
  3. Step 3: Cross multiply
    1,323.96x = 1,986.86 × 458.27
  4. Step 4: Simplify right side
    1,323.96x = 910,521.01
  5. Step 5: Solve for x
    x = 910,521.01/1,323.96
  6. Step 6: Final answer
    x = 687.73

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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.