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Finding the Fourth Proportional to 825.19, 1,236.16 and 413.11

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Solution

The fourth proportional to 825.19, 1,236.16 and 413.11 is: 618.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.19 : 1,236.16 = 413.11 : x
  2. Step 2: Convert to fraction form
    825.19/1,236.16 = 413.11/x
  3. Step 3: Cross multiply
    825.19x = 1,236.16 × 413.11
  4. Step 4: Simplify right side
    825.19x = 510,667.48
  5. Step 5: Solve for x
    x = 510,667.48/825.19
  6. Step 6: Final answer
    x = 618.85

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1.5x scale

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.