Home / 1,074.25-1,611.65-304.75

Finding the Fourth Proportional to 1,074.25, 1,611.65 and 304.75

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Solution

The fourth proportional to 1,074.25, 1,611.65 and 304.75 is: 457.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.25 : 1,611.65 = 304.75 : x
  2. Step 2: Convert to fraction form
    1,074.25/1,611.65 = 304.75/x
  3. Step 3: Cross multiply
    1,074.25x = 1,611.65 × 304.75
  4. Step 4: Simplify right side
    1,074.25x = 491,148.81
  5. Step 5: Solve for x
    x = 491,148.81/1,074.25
  6. Step 6: Final answer
    x = 457.20

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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.