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Finding the Fourth Proportional to 1,670.96, 2,504.28 and 804.80

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Solution

The fourth proportional to 1,670.96, 2,504.28 and 804.80 is: 1,206.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.96 : 2,504.28 = 804.80 : x
  2. Step 2: Convert to fraction form
    1,670.96/2,504.28 = 804.80/x
  3. Step 3: Cross multiply
    1,670.96x = 2,504.28 × 804.80
  4. Step 4: Simplify right side
    1,670.96x = 2,015,444.54
  5. Step 5: Solve for x
    x = 2,015,444.54/1,670.96
  6. Step 6: Final answer
    x = 1,206.16

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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.