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Finding the Fourth Proportional to 605.00, 834.30 and 384.08

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Solution

The fourth proportional to 605.00, 834.30 and 384.08 is: 529.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.00 : 834.30 = 384.08 : x
  2. Step 2: Convert to fraction form
    605.00/834.30 = 384.08/x
  3. Step 3: Cross multiply
    605.00x = 834.30 × 384.08
  4. Step 4: Simplify right side
    605.00x = 320,433.77
  5. Step 5: Solve for x
    x = 320,433.77/605.00
  6. Step 6: Final answer
    x = 529.64

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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.