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Finding the Fourth Proportional to 1,396.49, 2,094.97 and 459.18

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Solution

The fourth proportional to 1,396.49, 2,094.97 and 459.18 is: 688.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.49 : 2,094.97 = 459.18 : x
  2. Step 2: Convert to fraction form
    1,396.49/2,094.97 = 459.18/x
  3. Step 3: Cross multiply
    1,396.49x = 2,094.97 × 459.18
  4. Step 4: Simplify right side
    1,396.49x = 961,967.18
  5. Step 5: Solve for x
    x = 961,967.18/1,396.49
  6. Step 6: Final answer
    x = 688.85

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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.