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Finding the Fourth Proportional to 823.94, 1,235.84 and 413.36

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Solution

The fourth proportional to 823.94, 1,235.84 and 413.36 is: 620.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.94 : 1,235.84 = 413.36 : x
  2. Step 2: Convert to fraction form
    823.94/1,235.84 = 413.36/x
  3. Step 3: Cross multiply
    823.94x = 1,235.84 × 413.36
  4. Step 4: Simplify right side
    823.94x = 510,838.58
  5. Step 5: Solve for x
    x = 510,838.58/823.94
  6. Step 6: Final answer
    x = 620.00

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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.