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Finding the Fourth Proportional to 847.63, 1,269.62 and 413.88

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Solution

The fourth proportional to 847.63, 1,269.62 and 413.88 is: 619.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.63 : 1,269.62 = 413.88 : x
  2. Step 2: Convert to fraction form
    847.63/1,269.62 = 413.88/x
  3. Step 3: Cross multiply
    847.63x = 1,269.62 × 413.88
  4. Step 4: Simplify right side
    847.63x = 525,470.33
  5. Step 5: Solve for x
    x = 525,470.33/847.63
  6. Step 6: Final answer
    x = 619.93

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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.