Home / 1,157.26-1,734.80-426.64

Finding the Fourth Proportional to 1,157.26, 1,734.80 and 426.64

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Solution

The fourth proportional to 1,157.26, 1,734.80 and 426.64 is: 639.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.26 : 1,734.80 = 426.64 : x
  2. Step 2: Convert to fraction form
    1,157.26/1,734.80 = 426.64/x
  3. Step 3: Cross multiply
    1,157.26x = 1,734.80 × 426.64
  4. Step 4: Simplify right side
    1,157.26x = 740,135.07
  5. Step 5: Solve for x
    x = 740,135.07/1,157.26
  6. Step 6: Final answer
    x = 639.56

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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.