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Finding the Fourth Proportional to 1,923.05, 2,884.31 and 690.29

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Solution

The fourth proportional to 1,923.05, 2,884.31 and 690.29 is: 1,035.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.05 : 2,884.31 = 690.29 : x
  2. Step 2: Convert to fraction form
    1,923.05/2,884.31 = 690.29/x
  3. Step 3: Cross multiply
    1,923.05x = 2,884.31 × 690.29
  4. Step 4: Simplify right side
    1,923.05x = 1,990,992.48
  5. Step 5: Solve for x
    x = 1,990,992.48/1,923.05
  6. Step 6: Final answer
    x = 1,035.33

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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.