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Finding the Fourth Proportional to 1,235.50, 1,853.46 and 413.85

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Solution

The fourth proportional to 1,235.50, 1,853.46 and 413.85 is: 620.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.50 : 1,853.46 = 413.85 : x
  2. Step 2: Convert to fraction form
    1,235.50/1,853.46 = 413.85/x
  3. Step 3: Cross multiply
    1,235.50x = 1,853.46 × 413.85
  4. Step 4: Simplify right side
    1,235.50x = 767,054.42
  5. Step 5: Solve for x
    x = 767,054.42/1,235.50
  6. Step 6: Final answer
    x = 620.85

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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.