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Finding the Fourth Proportional to 2,990.16, 4,484.86 and 799.04

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Solution

The fourth proportional to 2,990.16, 4,484.86 and 799.04 is: 1,198.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.16 : 4,484.86 = 799.04 : x
  2. Step 2: Convert to fraction form
    2,990.16/4,484.86 = 799.04/x
  3. Step 3: Cross multiply
    2,990.16x = 4,484.86 × 799.04
  4. Step 4: Simplify right side
    2,990.16x = 3,583,582.53
  5. Step 5: Solve for x
    x = 3,583,582.53/2,990.16
  6. Step 6: Final answer
    x = 1,198.46

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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.