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Finding the Fourth Proportional to 612.06, 845.00 and 413.24

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Solution

The fourth proportional to 612.06, 845.00 and 413.24 is: 570.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.06 : 845.00 = 413.24 : x
  2. Step 2: Convert to fraction form
    612.06/845.00 = 413.24/x
  3. Step 3: Cross multiply
    612.06x = 845.00 × 413.24
  4. Step 4: Simplify right side
    612.06x = 349,183.06
  5. Step 5: Solve for x
    x = 349,183.06/612.06
  6. Step 6: Final answer
    x = 570.51

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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.