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Finding the Fourth Proportional to 1,216.85, 1,826.17 and 486.64

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Solution

The fourth proportional to 1,216.85, 1,826.17 and 486.64 is: 730.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.85 : 1,826.17 = 486.64 : x
  2. Step 2: Convert to fraction form
    1,216.85/1,826.17 = 486.64/x
  3. Step 3: Cross multiply
    1,216.85x = 1,826.17 × 486.64
  4. Step 4: Simplify right side
    1,216.85x = 888,687.37
  5. Step 5: Solve for x
    x = 888,687.37/1,216.85
  6. Step 6: Final answer
    x = 730.32

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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.