Home / 1,217.64-1,826.22-437.62

Finding the Fourth Proportional to 1,217.64, 1,826.22 and 437.62

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Solution

The fourth proportional to 1,217.64, 1,826.22 and 437.62 is: 656.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.64 : 1,826.22 = 437.62 : x
  2. Step 2: Convert to fraction form
    1,217.64/1,826.22 = 437.62/x
  3. Step 3: Cross multiply
    1,217.64x = 1,826.22 × 437.62
  4. Step 4: Simplify right side
    1,217.64x = 799,190.40
  5. Step 5: Solve for x
    x = 799,190.40/1,217.64
  6. Step 6: Final answer
    x = 656.34

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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.