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Finding the Fourth Proportional to 831.46, 1,246.11 and 818.50

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Solution

The fourth proportional to 831.46, 1,246.11 and 818.50 is: 1,226.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.46 : 1,246.11 = 818.50 : x
  2. Step 2: Convert to fraction form
    831.46/1,246.11 = 818.50/x
  3. Step 3: Cross multiply
    831.46x = 1,246.11 × 818.50
  4. Step 4: Simplify right side
    831.46x = 1,019,941.04
  5. Step 5: Solve for x
    x = 1,019,941.04/831.46
  6. Step 6: Final answer
    x = 1,226.69

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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.