Home / 1,217.70-1,826.34-437.56

Finding the Fourth Proportional to 1,217.70, 1,826.34 and 437.56

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Solution

The fourth proportional to 1,217.70, 1,826.34 and 437.56 is: 656.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.70 : 1,826.34 = 437.56 : x
  2. Step 2: Convert to fraction form
    1,217.70/1,826.34 = 437.56/x
  3. Step 3: Cross multiply
    1,217.70x = 1,826.34 × 437.56
  4. Step 4: Simplify right side
    1,217.70x = 799,133.33
  5. Step 5: Solve for x
    x = 799,133.33/1,217.70
  6. Step 6: Final answer
    x = 656.26

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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.