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Finding the Fourth Proportional to 3,000.68, 4,500.68 and 809.60

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Solution

The fourth proportional to 3,000.68, 4,500.68 and 809.60 is: 1,214.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.68 : 4,500.68 = 809.60 : x
  2. Step 2: Convert to fraction form
    3,000.68/4,500.68 = 809.60/x
  3. Step 3: Cross multiply
    3,000.68x = 4,500.68 × 809.60
  4. Step 4: Simplify right side
    3,000.68x = 3,643,750.53
  5. Step 5: Solve for x
    x = 3,643,750.53/3,000.68
  6. Step 6: Final answer
    x = 1,214.31

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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.