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Finding the Fourth Proportional to 1,074.52, 1,611.60 and 416.30

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Solution

The fourth proportional to 1,074.52, 1,611.60 and 416.30 is: 624.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.52 : 1,611.60 = 416.30 : x
  2. Step 2: Convert to fraction form
    1,074.52/1,611.60 = 416.30/x
  3. Step 3: Cross multiply
    1,074.52x = 1,611.60 × 416.30
  4. Step 4: Simplify right side
    1,074.52x = 670,909.08
  5. Step 5: Solve for x
    x = 670,909.08/1,074.52
  6. Step 6: Final answer
    x = 624.38

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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.