Home / 1,075.25-1,611.35-458.33

Finding the Fourth Proportional to 1,075.25, 1,611.35 and 458.33

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Solution

The fourth proportional to 1,075.25, 1,611.35 and 458.33 is: 686.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.25 : 1,611.35 = 458.33 : x
  2. Step 2: Convert to fraction form
    1,075.25/1,611.35 = 458.33/x
  3. Step 3: Cross multiply
    1,075.25x = 1,611.35 × 458.33
  4. Step 4: Simplify right side
    1,075.25x = 738,519.70
  5. Step 5: Solve for x
    x = 738,519.70/1,075.25
  6. Step 6: Final answer
    x = 686.84

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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.