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Finding the Fourth Proportional to 831.06, 1,246.59 and 466.56

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Solution

The fourth proportional to 831.06, 1,246.59 and 466.56 is: 699.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.06 : 1,246.59 = 466.56 : x
  2. Step 2: Convert to fraction form
    831.06/1,246.59 = 466.56/x
  3. Step 3: Cross multiply
    831.06x = 1,246.59 × 466.56
  4. Step 4: Simplify right side
    831.06x = 581,609.03
  5. Step 5: Solve for x
    x = 581,609.03/831.06
  6. Step 6: Final answer
    x = 699.84

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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.