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Finding the Fourth Proportional to 2,990.18, 4,485.50 and 798.86

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Solution

The fourth proportional to 2,990.18, 4,485.50 and 798.86 is: 1,198.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.18 : 4,485.50 = 798.86 : x
  2. Step 2: Convert to fraction form
    2,990.18/4,485.50 = 798.86/x
  3. Step 3: Cross multiply
    2,990.18x = 4,485.50 × 798.86
  4. Step 4: Simplify right side
    2,990.18x = 3,583,260.11
  5. Step 5: Solve for x
    x = 3,583,260.11/2,990.18
  6. Step 6: Final answer
    x = 1,198.34

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1.5x scale

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.