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Finding the Fourth Proportional to 775.03, 1,161.02 and 465.97

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Solution

The fourth proportional to 775.03, 1,161.02 and 465.97 is: 698.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.03 : 1,161.02 = 465.97 : x
  2. Step 2: Convert to fraction form
    775.03/1,161.02 = 465.97/x
  3. Step 3: Cross multiply
    775.03x = 1,161.02 × 465.97
  4. Step 4: Simplify right side
    775.03x = 540,992.35
  5. Step 5: Solve for x
    x = 540,992.35/775.03
  6. Step 6: Final answer
    x = 698.03

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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.