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Finding the Fourth Proportional to 1,236.49, 1,854.72 and 414.77

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Solution

The fourth proportional to 1,236.49, 1,854.72 and 414.77 is: 622.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.49 : 1,854.72 = 414.77 : x
  2. Step 2: Convert to fraction form
    1,236.49/1,854.72 = 414.77/x
  3. Step 3: Cross multiply
    1,236.49x = 1,854.72 × 414.77
  4. Step 4: Simplify right side
    1,236.49x = 769,282.21
  5. Step 5: Solve for x
    x = 769,282.21/1,236.49
  6. Step 6: Final answer
    x = 622.15

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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.