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Finding the Fourth Proportional to 494.49, 740.89 and 311.47

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Solution

The fourth proportional to 494.49, 740.89 and 311.47 is: 466.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.49 : 740.89 = 311.47 : x
  2. Step 2: Convert to fraction form
    494.49/740.89 = 311.47/x
  3. Step 3: Cross multiply
    494.49x = 740.89 × 311.47
  4. Step 4: Simplify right side
    494.49x = 230,765.01
  5. Step 5: Solve for x
    x = 230,765.01/494.49
  6. Step 6: Final answer
    x = 466.67

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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.