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Finding the Fourth Proportional to 3,070.70, 4,606.02 and 762.20

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Solution

The fourth proportional to 3,070.70, 4,606.02 and 762.20 is: 1,143.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.70 : 4,606.02 = 762.20 : x
  2. Step 2: Convert to fraction form
    3,070.70/4,606.02 = 762.20/x
  3. Step 3: Cross multiply
    3,070.70x = 4,606.02 × 762.20
  4. Step 4: Simplify right side
    3,070.70x = 3,510,685.41
  5. Step 5: Solve for x
    x = 3,510,685.41/3,070.70
  6. Step 6: Final answer
    x = 1,143.29

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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.