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Finding the Fourth Proportional to 1,362.96, 2,044.26 and 438.48

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Solution

The fourth proportional to 1,362.96, 2,044.26 and 438.48 is: 657.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.96 : 2,044.26 = 438.48 : x
  2. Step 2: Convert to fraction form
    1,362.96/2,044.26 = 438.48/x
  3. Step 3: Cross multiply
    1,362.96x = 2,044.26 × 438.48
  4. Step 4: Simplify right side
    1,362.96x = 896,367.12
  5. Step 5: Solve for x
    x = 896,367.12/1,362.96
  6. Step 6: Final answer
    x = 657.66

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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.