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Finding the Fourth Proportional to 491.42, 735.84 and 344.94

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Solution

The fourth proportional to 491.42, 735.84 and 344.94 is: 516.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.42 : 735.84 = 344.94 : x
  2. Step 2: Convert to fraction form
    491.42/735.84 = 344.94/x
  3. Step 3: Cross multiply
    491.42x = 735.84 × 344.94
  4. Step 4: Simplify right side
    491.42x = 253,820.65
  5. Step 5: Solve for x
    x = 253,820.65/491.42
  6. Step 6: Final answer
    x = 516.51

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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.