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Finding the Fourth Proportional to 1,769.99, 2,651.39 and 831.51

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Solution

The fourth proportional to 1,769.99, 2,651.39 and 831.51 is: 1,245.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.99 : 2,651.39 = 831.51 : x
  2. Step 2: Convert to fraction form
    1,769.99/2,651.39 = 831.51/x
  3. Step 3: Cross multiply
    1,769.99x = 2,651.39 × 831.51
  4. Step 4: Simplify right side
    1,769.99x = 2,204,666.20
  5. Step 5: Solve for x
    x = 2,204,666.20/1,769.99
  6. Step 6: Final answer
    x = 1,245.58

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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.