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Finding the Fourth Proportional to 511.82, 704.85 and 497.85

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Solution

The fourth proportional to 511.82, 704.85 and 497.85 is: 685.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.82 : 704.85 = 497.85 : x
  2. Step 2: Convert to fraction form
    511.82/704.85 = 497.85/x
  3. Step 3: Cross multiply
    511.82x = 704.85 × 497.85
  4. Step 4: Simplify right side
    511.82x = 350,907.86
  5. Step 5: Solve for x
    x = 350,907.86/511.82
  6. Step 6: Final answer
    x = 685.61

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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.