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Finding the Fourth Proportional to 494.34, 740.83 and 262.88

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Solution

The fourth proportional to 494.34, 740.83 and 262.88 is: 393.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.34 : 740.83 = 262.88 : x
  2. Step 2: Convert to fraction form
    494.34/740.83 = 262.88/x
  3. Step 3: Cross multiply
    494.34x = 740.83 × 262.88
  4. Step 4: Simplify right side
    494.34x = 194,749.39
  5. Step 5: Solve for x
    x = 194,749.39/494.34
  6. Step 6: Final answer
    x = 393.96

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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.