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Finding the Fourth Proportional to 3,000.50, 4,500.73 and 809.45

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Solution

The fourth proportional to 3,000.50, 4,500.73 and 809.45 is: 1,214.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.50 : 4,500.73 = 809.45 : x
  2. Step 2: Convert to fraction form
    3,000.50/4,500.73 = 809.45/x
  3. Step 3: Cross multiply
    3,000.50x = 4,500.73 × 809.45
  4. Step 4: Simplify right side
    3,000.50x = 3,643,115.90
  5. Step 5: Solve for x
    x = 3,643,115.90/3,000.50
  6. Step 6: Final answer
    x = 1,214.17

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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.