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Finding the Fourth Proportional to 417.51, 580.23 and 413.19

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Solution

The fourth proportional to 417.51, 580.23 and 413.19 is: 574.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.51 : 580.23 = 413.19 : x
  2. Step 2: Convert to fraction form
    417.51/580.23 = 413.19/x
  3. Step 3: Cross multiply
    417.51x = 580.23 × 413.19
  4. Step 4: Simplify right side
    417.51x = 239,745.23
  5. Step 5: Solve for x
    x = 239,745.23/417.51
  6. Step 6: Final answer
    x = 574.23

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.