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Finding the Fourth Proportional to 817.35, 1,224.40 and 730.28

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Solution

The fourth proportional to 817.35, 1,224.40 and 730.28 is: 1,093.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.35 : 1,224.40 = 730.28 : x
  2. Step 2: Convert to fraction form
    817.35/1,224.40 = 730.28/x
  3. Step 3: Cross multiply
    817.35x = 1,224.40 × 730.28
  4. Step 4: Simplify right side
    817.35x = 894,146.88
  5. Step 5: Solve for x
    x = 894,146.88/817.35
  6. Step 6: Final answer
    x = 1,093.96

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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.