Home / 1,159.09-1,736.58-611.65

Finding the Fourth Proportional to 1,159.09, 1,736.58 and 611.65

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Solution

The fourth proportional to 1,159.09, 1,736.58 and 611.65 is: 916.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.09 : 1,736.58 = 611.65 : x
  2. Step 2: Convert to fraction form
    1,159.09/1,736.58 = 611.65/x
  3. Step 3: Cross multiply
    1,159.09x = 1,736.58 × 611.65
  4. Step 4: Simplify right side
    1,159.09x = 1,062,179.16
  5. Step 5: Solve for x
    x = 1,062,179.16/1,159.09
  6. Step 6: Final answer
    x = 916.39

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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.