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Finding the Fourth Proportional to 775.62, 1,168.76 and 641.68

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Solution

The fourth proportional to 775.62, 1,168.76 and 641.68 is: 966.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.62 : 1,168.76 = 641.68 : x
  2. Step 2: Convert to fraction form
    775.62/1,168.76 = 641.68/x
  3. Step 3: Cross multiply
    775.62x = 1,168.76 × 641.68
  4. Step 4: Simplify right side
    775.62x = 749,969.92
  5. Step 5: Solve for x
    x = 749,969.92/775.62
  6. Step 6: Final answer
    x = 966.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.