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Finding the Fourth Proportional to 1,397, 2,094.12 and 665.30

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Solution

The fourth proportional to 1,397, 2,094.12 and 665.30 is: 997.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397 : 2,094.12 = 665.30 : x
  2. Step 2: Convert to fraction form
    1,397/2,094.12 = 665.30/x
  3. Step 3: Cross multiply
    1,397x = 2,094.12 × 665.30
  4. Step 4: Simplify right side
    1,397x = 1,393,218.04
  5. Step 5: Solve for x
    x = 1,393,218.04/1,397
  6. Step 6: Final answer
    x = 997.29

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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.