Home / 1,157.09-1,734.42-426.20

Finding the Fourth Proportional to 1,157.09, 1,734.42 and 426.20

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Solution

The fourth proportional to 1,157.09, 1,734.42 and 426.20 is: 638.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.09 : 1,734.42 = 426.20 : x
  2. Step 2: Convert to fraction form
    1,157.09/1,734.42 = 426.20/x
  3. Step 3: Cross multiply
    1,157.09x = 1,734.42 × 426.20
  4. Step 4: Simplify right side
    1,157.09x = 739,209.80
  5. Step 5: Solve for x
    x = 739,209.80/1,157.09
  6. Step 6: Final answer
    x = 638.85

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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.