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Finding the Fourth Proportional to 605.76, 835.72 and 369.64

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Solution

The fourth proportional to 605.76, 835.72 and 369.64 is: 509.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.76 : 835.72 = 369.64 : x
  2. Step 2: Convert to fraction form
    605.76/835.72 = 369.64/x
  3. Step 3: Cross multiply
    605.76x = 835.72 × 369.64
  4. Step 4: Simplify right side
    605.76x = 308,915.54
  5. Step 5: Solve for x
    x = 308,915.54/605.76
  6. Step 6: Final answer
    x = 509.96

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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.