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Finding the Fourth Proportional to 823.94, 1,235.61 and 276.00

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Solution

The fourth proportional to 823.94, 1,235.61 and 276.00 is: 413.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.94 : 1,235.61 = 276.00 : x
  2. Step 2: Convert to fraction form
    823.94/1,235.61 = 276.00/x
  3. Step 3: Cross multiply
    823.94x = 1,235.61 × 276.00
  4. Step 4: Simplify right side
    823.94x = 341,024.50
  5. Step 5: Solve for x
    x = 341,024.50/823.94
  6. Step 6: Final answer
    x = 413.89

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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.