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Finding the Fourth Proportional to 3,072.79, 4,609.23 and 764.29

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Solution

The fourth proportional to 3,072.79, 4,609.23 and 764.29 is: 1,146.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.79 : 4,609.23 = 764.29 : x
  2. Step 2: Convert to fraction form
    3,072.79/4,609.23 = 764.29/x
  3. Step 3: Cross multiply
    3,072.79x = 4,609.23 × 764.29
  4. Step 4: Simplify right side
    3,072.79x = 3,522,788.40
  5. Step 5: Solve for x
    x = 3,522,788.40/3,072.79
  6. Step 6: Final answer
    x = 1,146.45

Related Problems

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Similar ratio
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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.