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Finding the Fourth Proportional to 817.37, 1,226.06 and 354.50

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Solution

The fourth proportional to 817.37, 1,226.06 and 354.50 is: 531.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.37 : 1,226.06 = 354.50 : x
  2. Step 2: Convert to fraction form
    817.37/1,226.06 = 354.50/x
  3. Step 3: Cross multiply
    817.37x = 1,226.06 × 354.50
  4. Step 4: Simplify right side
    817.37x = 434,630.37
  5. Step 5: Solve for x
    x = 434,630.37/817.37
  6. Step 6: Final answer
    x = 531.75

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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.