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Finding the Fourth Proportional to 493.59, 680.74 and 369.54

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Solution

The fourth proportional to 493.59, 680.74 and 369.54 is: 509.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.59 : 680.74 = 369.54 : x
  2. Step 2: Convert to fraction form
    493.59/680.74 = 369.54/x
  3. Step 3: Cross multiply
    493.59x = 680.74 × 369.54
  4. Step 4: Simplify right side
    493.59x = 251,558.81
  5. Step 5: Solve for x
    x = 251,558.81/493.59
  6. Step 6: Final answer
    x = 509.66

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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.