Home / 1,157.20-1,734.26-426.10

Finding the Fourth Proportional to 1,157.20, 1,734.26 and 426.10

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Solution

The fourth proportional to 1,157.20, 1,734.26 and 426.10 is: 638.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.20 : 1,734.26 = 426.10 : x
  2. Step 2: Convert to fraction form
    1,157.20/1,734.26 = 426.10/x
  3. Step 3: Cross multiply
    1,157.20x = 1,734.26 × 426.10
  4. Step 4: Simplify right side
    1,157.20x = 738,968.19
  5. Step 5: Solve for x
    x = 738,968.19/1,157.20
  6. Step 6: Final answer
    x = 638.58

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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.