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Finding the Fourth Proportional to 775.52, 1,161.64 and 620.62

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Solution

The fourth proportional to 775.52, 1,161.64 and 620.62 is: 929.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.52 : 1,161.64 = 620.62 : x
  2. Step 2: Convert to fraction form
    775.52/1,161.64 = 620.62/x
  3. Step 3: Cross multiply
    775.52x = 1,161.64 × 620.62
  4. Step 4: Simplify right side
    775.52x = 720,937.02
  5. Step 5: Solve for x
    x = 720,937.02/775.52
  6. Step 6: Final answer
    x = 929.62

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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.