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Finding the Fourth Proportional to 817.20, 1,219.50 and 673.20

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Solution

The fourth proportional to 817.20, 1,219.50 and 673.20 is: 1,004.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.20 : 1,219.50 = 673.20 : x
  2. Step 2: Convert to fraction form
    817.20/1,219.50 = 673.20/x
  3. Step 3: Cross multiply
    817.20x = 1,219.50 × 673.20
  4. Step 4: Simplify right side
    817.20x = 820,967.40
  5. Step 5: Solve for x
    x = 820,967.40/817.20
  6. Step 6: Final answer
    x = 1,004.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.