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Finding the Fourth Proportional to 850.82, 1,276.18 and 417.54

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Solution

The fourth proportional to 850.82, 1,276.18 and 417.54 is: 626.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.82 : 1,276.18 = 417.54 : x
  2. Step 2: Convert to fraction form
    850.82/1,276.18 = 417.54/x
  3. Step 3: Cross multiply
    850.82x = 1,276.18 × 417.54
  4. Step 4: Simplify right side
    850.82x = 532,856.20
  5. Step 5: Solve for x
    x = 532,856.20/850.82
  6. Step 6: Final answer
    x = 626.29

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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.