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Finding the Fourth Proportional to 1,438.62, 1,986.60 and 908.44

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Solution

The fourth proportional to 1,438.62, 1,986.60 and 908.44 is: 1,254.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.62 : 1,986.60 = 908.44 : x
  2. Step 2: Convert to fraction form
    1,438.62/1,986.60 = 908.44/x
  3. Step 3: Cross multiply
    1,438.62x = 1,986.60 × 908.44
  4. Step 4: Simplify right side
    1,438.62x = 1,804,702.36
  5. Step 5: Solve for x
    x = 1,804,702.36/1,438.62
  6. Step 6: Final answer
    x = 1,254.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.