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Finding the Fourth Proportional to 1,362.87, 2,044.01 and 438.50

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Solution

The fourth proportional to 1,362.87, 2,044.01 and 438.50 is: 657.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.87 : 2,044.01 = 438.50 : x
  2. Step 2: Convert to fraction form
    1,362.87/2,044.01 = 438.50/x
  3. Step 3: Cross multiply
    1,362.87x = 2,044.01 × 438.50
  4. Step 4: Simplify right side
    1,362.87x = 896,304.59
  5. Step 5: Solve for x
    x = 896,304.59/1,362.87
  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.