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Finding the Fourth Proportional to 545.48, 816.39 and 413.35

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Solution

The fourth proportional to 545.48, 816.39 and 413.35 is: 618.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.48 : 816.39 = 413.35 : x
  2. Step 2: Convert to fraction form
    545.48/816.39 = 413.35/x
  3. Step 3: Cross multiply
    545.48x = 816.39 × 413.35
  4. Step 4: Simplify right side
    545.48x = 337,450.72
  5. Step 5: Solve for x
    x = 337,450.72/545.48
  6. Step 6: Final answer
    x = 618.63

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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.