Home / 1,159.03-1,738.36-428.44

Finding the Fourth Proportional to 1,159.03, 1,738.36 and 428.44

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Solution

The fourth proportional to 1,159.03, 1,738.36 and 428.44 is: 642.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.03 : 1,738.36 = 428.44 : x
  2. Step 2: Convert to fraction form
    1,159.03/1,738.36 = 428.44/x
  3. Step 3: Cross multiply
    1,159.03x = 1,738.36 × 428.44
  4. Step 4: Simplify right side
    1,159.03x = 744,782.96
  5. Step 5: Solve for x
    x = 744,782.96/1,159.03
  6. Step 6: Final answer
    x = 642.59

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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.