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Finding the Fourth Proportional to 2,990.93, 4,486.36 and 799.83

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Solution

The fourth proportional to 2,990.93, 4,486.36 and 799.83 is: 1,199.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.93 : 4,486.36 = 799.83 : x
  2. Step 2: Convert to fraction form
    2,990.93/4,486.36 = 799.83/x
  3. Step 3: Cross multiply
    2,990.93x = 4,486.36 × 799.83
  4. Step 4: Simplify right side
    2,990.93x = 3,588,325.32
  5. Step 5: Solve for x
    x = 3,588,325.32/2,990.93
  6. Step 6: Final answer
    x = 1,199.74

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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.