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Finding the Fourth Proportional to 845.62, 1,270.86 and 413.08

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Solution

The fourth proportional to 845.62, 1,270.86 and 413.08 is: 620.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.62 : 1,270.86 = 413.08 : x
  2. Step 2: Convert to fraction form
    845.62/1,270.86 = 413.08/x
  3. Step 3: Cross multiply
    845.62x = 1,270.86 × 413.08
  4. Step 4: Simplify right side
    845.62x = 524,966.85
  5. Step 5: Solve for x
    x = 524,966.85/845.62
  6. Step 6: Final answer
    x = 620.81

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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.