Home / 1,075.41-1,611.58-945.10

Finding the Fourth Proportional to 1,075.41, 1,611.58 and 945.10

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Solution

The fourth proportional to 1,075.41, 1,611.58 and 945.10 is: 1,416.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.41 : 1,611.58 = 945.10 : x
  2. Step 2: Convert to fraction form
    1,075.41/1,611.58 = 945.10/x
  3. Step 3: Cross multiply
    1,075.41x = 1,611.58 × 945.10
  4. Step 4: Simplify right side
    1,075.41x = 1,523,104.26
  5. Step 5: Solve for x
    x = 1,523,104.26/1,075.41
  6. Step 6: Final answer
    x = 1,416.30

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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.