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Finding the Fourth Proportional to 1,235.66, 1,853.46 and 413.69

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Solution

The fourth proportional to 1,235.66, 1,853.46 and 413.69 is: 620.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.66 : 1,853.46 = 413.69 : x
  2. Step 2: Convert to fraction form
    1,235.66/1,853.46 = 413.69/x
  3. Step 3: Cross multiply
    1,235.66x = 1,853.46 × 413.69
  4. Step 4: Simplify right side
    1,235.66x = 766,748.60
  5. Step 5: Solve for x
    x = 766,748.60/1,235.66
  6. Step 6: Final answer
    x = 620.52

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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.