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Finding the Fourth Proportional to 605.33, 834.86 and 384.33

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Solution

The fourth proportional to 605.33, 834.86 and 384.33 is: 530.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.33 : 834.86 = 384.33 : x
  2. Step 2: Convert to fraction form
    605.33/834.86 = 384.33/x
  3. Step 3: Cross multiply
    605.33x = 834.86 × 384.33
  4. Step 4: Simplify right side
    605.33x = 320,862.70
  5. Step 5: Solve for x
    x = 320,862.70/605.33
  6. Step 6: Final answer
    x = 530.07

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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.