Home / 1,157.21-1,734.25-426.09

Finding the Fourth Proportional to 1,157.21, 1,734.25 and 426.09

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Solution

The fourth proportional to 1,157.21, 1,734.25 and 426.09 is: 638.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.21 : 1,734.25 = 426.09 : x
  2. Step 2: Convert to fraction form
    1,157.21/1,734.25 = 426.09/x
  3. Step 3: Cross multiply
    1,157.21x = 1,734.25 × 426.09
  4. Step 4: Simplify right side
    1,157.21x = 738,946.58
  5. Step 5: Solve for x
    x = 738,946.58/1,157.21
  6. Step 6: Final answer
    x = 638.56

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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.