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Finding the Fourth Proportional to 775.97, 1,166.07 and 411

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Solution

The fourth proportional to 775.97, 1,166.07 and 411 is: 617.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.97 : 1,166.07 = 411 : x
  2. Step 2: Convert to fraction form
    775.97/1,166.07 = 411/x
  3. Step 3: Cross multiply
    775.97x = 1,166.07 × 411
  4. Step 4: Simplify right side
    775.97x = 479,254.77
  5. Step 5: Solve for x
    x = 479,254.77/775.97
  6. Step 6: Final answer
    x = 617.62

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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.