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Finding the Fourth Proportional to 1,990.68, 2,986.80 and 758.42

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Solution

The fourth proportional to 1,990.68, 2,986.80 and 758.42 is: 1,137.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.68 : 2,986.80 = 758.42 : x
  2. Step 2: Convert to fraction form
    1,990.68/2,986.80 = 758.42/x
  3. Step 3: Cross multiply
    1,990.68x = 2,986.80 × 758.42
  4. Step 4: Simplify right side
    1,990.68x = 2,265,248.86
  5. Step 5: Solve for x
    x = 2,265,248.86/1,990.68
  6. Step 6: Final answer
    x = 1,137.93

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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.