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Finding the Fourth Proportional to 1,449.20, 1,999.91 and 786.05

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Solution

The fourth proportional to 1,449.20, 1,999.91 and 786.05 is: 1,084.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.20 : 1,999.91 = 786.05 : x
  2. Step 2: Convert to fraction form
    1,449.20/1,999.91 = 786.05/x
  3. Step 3: Cross multiply
    1,449.20x = 1,999.91 × 786.05
  4. Step 4: Simplify right side
    1,449.20x = 1,572,035.55
  5. Step 5: Solve for x
    x = 1,572,035.55/1,449.20
  6. Step 6: Final answer
    x = 1,084.76

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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.