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Finding the Fourth Proportional to 831.90, 1,246.14 and 446.34

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Solution

The fourth proportional to 831.90, 1,246.14 and 446.34 is: 668.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.90 : 1,246.14 = 446.34 : x
  2. Step 2: Convert to fraction form
    831.90/1,246.14 = 446.34/x
  3. Step 3: Cross multiply
    831.90x = 1,246.14 × 446.34
  4. Step 4: Simplify right side
    831.90x = 556,202.13
  5. Step 5: Solve for x
    x = 556,202.13/831.90
  6. Step 6: Final answer
    x = 668.59

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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.