Home / 1,075.33-1,611.57-831.38

Finding the Fourth Proportional to 1,075.33, 1,611.57 and 831.38

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Solution

The fourth proportional to 1,075.33, 1,611.57 and 831.38 is: 1,245.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.33 : 1,611.57 = 831.38 : x
  2. Step 2: Convert to fraction form
    1,075.33/1,611.57 = 831.38/x
  3. Step 3: Cross multiply
    1,075.33x = 1,611.57 × 831.38
  4. Step 4: Simplify right side
    1,075.33x = 1,339,827.07
  5. Step 5: Solve for x
    x = 1,339,827.07/1,075.33
  6. Step 6: Final answer
    x = 1,245.97

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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.