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Finding the Fourth Proportional to 831.85, 1,245.94 and 669.64

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Solution

The fourth proportional to 831.85, 1,245.94 and 669.64 is: 1,002.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.85 : 1,245.94 = 669.64 : x
  2. Step 2: Convert to fraction form
    831.85/1,245.94 = 669.64/x
  3. Step 3: Cross multiply
    831.85x = 1,245.94 × 669.64
  4. Step 4: Simplify right side
    831.85x = 834,331.26
  5. Step 5: Solve for x
    x = 834,331.26/831.85
  6. Step 6: Final answer
    x = 1,002.98

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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.