Home / 1,159.44-1,738.08-428.68

Finding the Fourth Proportional to 1,159.44, 1,738.08 and 428.68

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Solution

The fourth proportional to 1,159.44, 1,738.08 and 428.68 is: 642.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.44 : 1,738.08 = 428.68 : x
  2. Step 2: Convert to fraction form
    1,159.44/1,738.08 = 428.68/x
  3. Step 3: Cross multiply
    1,159.44x = 1,738.08 × 428.68
  4. Step 4: Simplify right side
    1,159.44x = 745,080.13
  5. Step 5: Solve for x
    x = 745,080.13/1,159.44
  6. Step 6: Final answer
    x = 642.62

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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.