Home / 1,610.99-2,415.77-831.43

Finding the Fourth Proportional to 1,610.99, 2,415.77 and 831.43

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Solution

The fourth proportional to 1,610.99, 2,415.77 and 831.43 is: 1,246.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.99 : 2,415.77 = 831.43 : x
  2. Step 2: Convert to fraction form
    1,610.99/2,415.77 = 831.43/x
  3. Step 3: Cross multiply
    1,610.99x = 2,415.77 × 831.43
  4. Step 4: Simplify right side
    1,610.99x = 2,008,527.42
  5. Step 5: Solve for x
    x = 2,008,527.42/1,610.99
  6. Step 6: Final answer
    x = 1,246.77

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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.