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Finding the Fourth Proportional to 544.46, 814.61 and 413.98

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Solution

The fourth proportional to 544.46, 814.61 and 413.98 is: 619.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.46 : 814.61 = 413.98 : x
  2. Step 2: Convert to fraction form
    544.46/814.61 = 413.98/x
  3. Step 3: Cross multiply
    544.46x = 814.61 × 413.98
  4. Step 4: Simplify right side
    544.46x = 337,231.25
  5. Step 5: Solve for x
    x = 337,231.25/544.46
  6. Step 6: Final answer
    x = 619.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.