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Finding the Fourth Proportional to 1,243.53, 1,711.78 and 1,075.41

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Solution

The fourth proportional to 1,243.53, 1,711.78 and 1,075.41 is: 1,480.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.53 : 1,711.78 = 1,075.41 : x
  2. Step 2: Convert to fraction form
    1,243.53/1,711.78 = 1,075.41/x
  3. Step 3: Cross multiply
    1,243.53x = 1,711.78 × 1,075.41
  4. Step 4: Simplify right side
    1,243.53x = 1,840,862.64
  5. Step 5: Solve for x
    x = 1,840,862.64/1,243.53
  6. Step 6: Final answer
    x = 1,480.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.