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Finding the Fourth Proportional to 511.09, 704.05 and 370.79

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Solution

The fourth proportional to 511.09, 704.05 and 370.79 is: 510.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.09 : 704.05 = 370.79 : x
  2. Step 2: Convert to fraction form
    511.09/704.05 = 370.79/x
  3. Step 3: Cross multiply
    511.09x = 704.05 × 370.79
  4. Step 4: Simplify right side
    511.09x = 261,054.70
  5. Step 5: Solve for x
    x = 261,054.70/511.09
  6. Step 6: Final answer
    x = 510.78

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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.