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Finding the Fourth Proportional to 775.65, 1,168.77 and 641.70

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Solution

The fourth proportional to 775.65, 1,168.77 and 641.70 is: 966.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.65 : 1,168.77 = 641.70 : x
  2. Step 2: Convert to fraction form
    775.65/1,168.77 = 641.70/x
  3. Step 3: Cross multiply
    775.65x = 1,168.77 × 641.70
  4. Step 4: Simplify right side
    775.65x = 749,999.71
  5. Step 5: Solve for x
    x = 749,999.71/775.65
  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.