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Finding the Fourth Proportional to 544.60, 815.72 and 413.14

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Solution

The fourth proportional to 544.60, 815.72 and 413.14 is: 618.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.60 : 815.72 = 413.14 : x
  2. Step 2: Convert to fraction form
    544.60/815.72 = 413.14/x
  3. Step 3: Cross multiply
    544.60x = 815.72 × 413.14
  4. Step 4: Simplify right side
    544.60x = 337,006.56
  5. Step 5: Solve for x
    x = 337,006.56/544.60
  6. Step 6: Final answer
    x = 618.81

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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.