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Finding the Fourth Proportional to 775.25, 1,066.67 and 670

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Solution

The fourth proportional to 775.25, 1,066.67 and 670 is: 921.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.25 : 1,066.67 = 670 : x
  2. Step 2: Convert to fraction form
    775.25/1,066.67 = 670/x
  3. Step 3: Cross multiply
    775.25x = 1,066.67 × 670
  4. Step 4: Simplify right side
    775.25x = 714,668.90
  5. Step 5: Solve for x
    x = 714,668.90/775.25
  6. Step 6: Final answer
    x = 921.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.