Home / 1,159.03-1,738.38-428.48

Finding the Fourth Proportional to 1,159.03, 1,738.38 and 428.48

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Solution

The fourth proportional to 1,159.03, 1,738.38 and 428.48 is: 642.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.03 : 1,738.38 = 428.48 : x
  2. Step 2: Convert to fraction form
    1,159.03/1,738.38 = 428.48/x
  3. Step 3: Cross multiply
    1,159.03x = 1,738.38 × 428.48
  4. Step 4: Simplify right side
    1,159.03x = 744,858.09
  5. Step 5: Solve for x
    x = 744,858.09/1,159.03
  6. Step 6: Final answer
    x = 642.66

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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.