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Finding the Fourth Proportional to 493.56, 680.40 and 345.74

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Solution

The fourth proportional to 493.56, 680.40 and 345.74 is: 476.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.56 : 680.40 = 345.74 : x
  2. Step 2: Convert to fraction form
    493.56/680.40 = 345.74/x
  3. Step 3: Cross multiply
    493.56x = 680.40 × 345.74
  4. Step 4: Simplify right side
    493.56x = 235,238.09
  5. Step 5: Solve for x
    x = 235,238.09/493.56
  6. Step 6: Final answer
    x = 476.61

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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.