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Finding the Fourth Proportional to 1,396.43, 1,927.31 and 807.30

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Solution

The fourth proportional to 1,396.43, 1,927.31 and 807.30 is: 1,114.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.43 : 1,927.31 = 807.30 : x
  2. Step 2: Convert to fraction form
    1,396.43/1,927.31 = 807.30/x
  3. Step 3: Cross multiply
    1,396.43x = 1,927.31 × 807.30
  4. Step 4: Simplify right side
    1,396.43x = 1,555,917.36
  5. Step 5: Solve for x
    x = 1,555,917.36/1,396.43
  6. Step 6: Final answer
    x = 1,114.21

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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.