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Finding the Fourth Proportional to 605.54, 835.06 and 384.09

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Solution

The fourth proportional to 605.54, 835.06 and 384.09 is: 529.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.54 : 835.06 = 384.09 : x
  2. Step 2: Convert to fraction form
    605.54/835.06 = 384.09/x
  3. Step 3: Cross multiply
    605.54x = 835.06 × 384.09
  4. Step 4: Simplify right side
    605.54x = 320,737.24
  5. Step 5: Solve for x
    x = 320,737.24/605.54
  6. Step 6: Final answer
    x = 529.68

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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.