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Finding the Fourth Proportional to 775.02, 1,161.66 and 409.02

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Solution

The fourth proportional to 775.02, 1,161.66 and 409.02 is: 613.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.02 : 1,161.66 = 409.02 : x
  2. Step 2: Convert to fraction form
    775.02/1,161.66 = 409.02/x
  3. Step 3: Cross multiply
    775.02x = 1,161.66 × 409.02
  4. Step 4: Simplify right side
    775.02x = 475,142.17
  5. Step 5: Solve for x
    x = 475,142.17/775.02
  6. Step 6: Final answer
    x = 613.07

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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.