Home / 1,159.55-1,738.09-465.94

Finding the Fourth Proportional to 1,159.55, 1,738.09 and 465.94

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Solution

The fourth proportional to 1,159.55, 1,738.09 and 465.94 is: 698.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.55 : 1,738.09 = 465.94 : x
  2. Step 2: Convert to fraction form
    1,159.55/1,738.09 = 465.94/x
  3. Step 3: Cross multiply
    1,159.55x = 1,738.09 × 465.94
  4. Step 4: Simplify right side
    1,159.55x = 809,845.65
  5. Step 5: Solve for x
    x = 809,845.65/1,159.55
  6. Step 6: Final answer
    x = 698.41

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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.