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Finding the Fourth Proportional to 493.75, 682.35 and 405.09

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Solution

The fourth proportional to 493.75, 682.35 and 405.09 is: 559.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.75 : 682.35 = 405.09 : x
  2. Step 2: Convert to fraction form
    493.75/682.35 = 405.09/x
  3. Step 3: Cross multiply
    493.75x = 682.35 × 405.09
  4. Step 4: Simplify right side
    493.75x = 276,407.72
  5. Step 5: Solve for x
    x = 276,407.72/493.75
  6. Step 6: Final answer
    x = 559.82

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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.