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Finding the Fourth Proportional to 775.04, 1,163.06 and 409.72

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Solution

The fourth proportional to 775.04, 1,163.06 and 409.72 is: 614.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.04 : 1,163.06 = 409.72 : x
  2. Step 2: Convert to fraction form
    775.04/1,163.06 = 409.72/x
  3. Step 3: Cross multiply
    775.04x = 1,163.06 × 409.72
  4. Step 4: Simplify right side
    775.04x = 476,528.94
  5. Step 5: Solve for x
    x = 476,528.94/775.04
  6. Step 6: Final answer
    x = 614.84

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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.