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Finding the Fourth Proportional to 846.49, 1,269.74 and 413.77

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Solution

The fourth proportional to 846.49, 1,269.74 and 413.77 is: 620.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.49 : 1,269.74 = 413.77 : x
  2. Step 2: Convert to fraction form
    846.49/1,269.74 = 413.77/x
  3. Step 3: Cross multiply
    846.49x = 1,269.74 × 413.77
  4. Step 4: Simplify right side
    846.49x = 525,380.32
  5. Step 5: Solve for x
    x = 525,380.32/846.49
  6. Step 6: Final answer
    x = 620.66

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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.