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Finding the Fourth Proportional to 1,074.56, 1,611.84 and 425.60

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Solution

The fourth proportional to 1,074.56, 1,611.84 and 425.60 is: 638.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.56 : 1,611.84 = 425.60 : x
  2. Step 2: Convert to fraction form
    1,074.56/1,611.84 = 425.60/x
  3. Step 3: Cross multiply
    1,074.56x = 1,611.84 × 425.60
  4. Step 4: Simplify right side
    1,074.56x = 685,999.10
  5. Step 5: Solve for x
    x = 685,999.10/1,074.56
  6. Step 6: Final answer
    x = 638.40

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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.