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Finding the Fourth Proportional to 511.50, 705.87 and 381.09

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Solution

The fourth proportional to 511.50, 705.87 and 381.09 is: 525.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.50 : 705.87 = 381.09 : x
  2. Step 2: Convert to fraction form
    511.50/705.87 = 381.09/x
  3. Step 3: Cross multiply
    511.50x = 705.87 × 381.09
  4. Step 4: Simplify right side
    511.50x = 269,000.00
  5. Step 5: Solve for x
    x = 269,000.00/511.50
  6. Step 6: Final answer
    x = 525.90

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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.