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Finding the Fourth Proportional to 605.83, 836.21 and 384.91

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Solution

The fourth proportional to 605.83, 836.21 and 384.91 is: 531.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.83 : 836.21 = 384.91 : x
  2. Step 2: Convert to fraction form
    605.83/836.21 = 384.91/x
  3. Step 3: Cross multiply
    605.83x = 836.21 × 384.91
  4. Step 4: Simplify right side
    605.83x = 321,865.59
  5. Step 5: Solve for x
    x = 321,865.59/605.83
  6. Step 6: Final answer
    x = 531.28

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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.