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Finding the Fourth Proportional to 606.53, 910.10 and 413.77

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Solution

The fourth proportional to 606.53, 910.10 and 413.77 is: 620.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.53 : 910.10 = 413.77 : x
  2. Step 2: Convert to fraction form
    606.53/910.10 = 413.77/x
  3. Step 3: Cross multiply
    606.53x = 910.10 × 413.77
  4. Step 4: Simplify right side
    606.53x = 376,570.01
  5. Step 5: Solve for x
    x = 376,570.01/606.53
  6. Step 6: Final answer
    x = 620.86

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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.