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Finding the Fourth Proportional to 1,478.90, 2,040.12 and 1,199.45

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Solution

The fourth proportional to 1,478.90, 2,040.12 and 1,199.45 is: 1,654.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.90 : 2,040.12 = 1,199.45 : x
  2. Step 2: Convert to fraction form
    1,478.90/2,040.12 = 1,199.45/x
  3. Step 3: Cross multiply
    1,478.90x = 2,040.12 × 1,199.45
  4. Step 4: Simplify right side
    1,478.90x = 2,447,027.03
  5. Step 5: Solve for x
    x = 2,447,027.03/1,478.90
  6. Step 6: Final answer
    x = 1,654.62

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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.