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Finding the Fourth Proportional to 2,990.45, 4,485.65 and 769.26

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Solution

The fourth proportional to 2,990.45, 4,485.65 and 769.26 is: 1,153.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.45 : 4,485.65 = 769.26 : x
  2. Step 2: Convert to fraction form
    2,990.45/4,485.65 = 769.26/x
  3. Step 3: Cross multiply
    2,990.45x = 4,485.65 × 769.26
  4. Step 4: Simplify right side
    2,990.45x = 3,450,644.09
  5. Step 5: Solve for x
    x = 3,450,644.09/2,990.45
  6. Step 6: Final answer
    x = 1,153.89

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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.