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Finding the Fourth Proportional to 1,494.15, 2,061.84 and 831.03

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Solution

The fourth proportional to 1,494.15, 2,061.84 and 831.03 is: 1,146.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.15 : 2,061.84 = 831.03 : x
  2. Step 2: Convert to fraction form
    1,494.15/2,061.84 = 831.03/x
  3. Step 3: Cross multiply
    1,494.15x = 2,061.84 × 831.03
  4. Step 4: Simplify right side
    1,494.15x = 1,713,450.90
  5. Step 5: Solve for x
    x = 1,713,450.90/1,494.15
  6. Step 6: Final answer
    x = 1,146.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.