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Finding the Fourth Proportional to 1,396.90, 1,928.22 and 837.55

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Solution

The fourth proportional to 1,396.90, 1,928.22 and 837.55 is: 1,156.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.90 : 1,928.22 = 837.55 : x
  2. Step 2: Convert to fraction form
    1,396.90/1,928.22 = 837.55/x
  3. Step 3: Cross multiply
    1,396.90x = 1,928.22 × 837.55
  4. Step 4: Simplify right side
    1,396.90x = 1,614,980.66
  5. Step 5: Solve for x
    x = 1,614,980.66/1,396.90
  6. Step 6: Final answer
    x = 1,156.12

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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.