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Finding the Fourth Proportional to 831.80, 1,245.90 and 446.60

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Solution

The fourth proportional to 831.80, 1,245.90 and 446.60 is: 668.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.80 : 1,245.90 = 446.60 : x
  2. Step 2: Convert to fraction form
    831.80/1,245.90 = 446.60/x
  3. Step 3: Cross multiply
    831.80x = 1,245.90 × 446.60
  4. Step 4: Simplify right side
    831.80x = 556,418.94
  5. Step 5: Solve for x
    x = 556,418.94/831.80
  6. Step 6: Final answer
    x = 668.93

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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.