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Finding the Fourth Proportional to 1,611.22, 2,416.97 and 456.97

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Solution

The fourth proportional to 1,611.22, 2,416.97 and 456.97 is: 685.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.22 : 2,416.97 = 456.97 : x
  2. Step 2: Convert to fraction form
    1,611.22/2,416.97 = 456.97/x
  3. Step 3: Cross multiply
    1,611.22x = 2,416.97 × 456.97
  4. Step 4: Simplify right side
    1,611.22x = 1,104,482.78
  5. Step 5: Solve for x
    x = 1,104,482.78/1,611.22
  6. Step 6: Final answer
    x = 685.49

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1.5x scale

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.