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Finding the Fourth Proportional to 831, 1,146.65 and 490.40

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Solution

The fourth proportional to 831, 1,146.65 and 490.40 is: 676.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    831 : 1,146.65 = 490.40 : x
  2. Step 2: Convert to fraction form
    831/1,146.65 = 490.40/x
  3. Step 3: Cross multiply
    831x = 1,146.65 × 490.40
  4. Step 4: Simplify right side
    831x = 562,308.97
  5. Step 5: Solve for x
    x = 562,308.97/831
  6. Step 6: Final answer
    x = 676.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.