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Finding the Fourth Proportional to 1,328.27, 1,992.38 and 450.58

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Solution

The fourth proportional to 1,328.27, 1,992.38 and 450.58 is: 675.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.27 : 1,992.38 = 450.58 : x
  2. Step 2: Convert to fraction form
    1,328.27/1,992.38 = 450.58/x
  3. Step 3: Cross multiply
    1,328.27x = 1,992.38 × 450.58
  4. Step 4: Simplify right side
    1,328.27x = 897,726.58
  5. Step 5: Solve for x
    x = 897,726.58/1,328.27
  6. Step 6: Final answer
    x = 675.86

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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.