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Finding the Fourth Proportional to 1,074.40, 1,611.09 and 416.58

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Solution

The fourth proportional to 1,074.40, 1,611.09 and 416.58 is: 624.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.40 : 1,611.09 = 416.58 : x
  2. Step 2: Convert to fraction form
    1,074.40/1,611.09 = 416.58/x
  3. Step 3: Cross multiply
    1,074.40x = 1,611.09 × 416.58
  4. Step 4: Simplify right side
    1,074.40x = 671,145.79
  5. Step 5: Solve for x
    x = 671,145.79/1,074.40
  6. Step 6: Final answer
    x = 624.67

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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.