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Finding the Fourth Proportional to 605.77, 836.06 and 369.86

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Solution

The fourth proportional to 605.77, 836.06 and 369.86 is: 510.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.77 : 836.06 = 369.86 : x
  2. Step 2: Convert to fraction form
    605.77/836.06 = 369.86/x
  3. Step 3: Cross multiply
    605.77x = 836.06 × 369.86
  4. Step 4: Simplify right side
    605.77x = 309,221.38
  5. Step 5: Solve for x
    x = 309,221.38/605.77
  6. Step 6: Final answer
    x = 510.46

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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.