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Finding the Fourth Proportional to 544.40, 813.49 and 413.68

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Solution

The fourth proportional to 544.40, 813.49 and 413.68 is: 618.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.40 : 813.49 = 413.68 : x
  2. Step 2: Convert to fraction form
    544.40/813.49 = 413.68/x
  3. Step 3: Cross multiply
    544.40x = 813.49 × 413.68
  4. Step 4: Simplify right side
    544.40x = 336,524.54
  5. Step 5: Solve for x
    x = 336,524.54/544.40
  6. Step 6: Final answer
    x = 618.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.