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Finding the Fourth Proportional to 774.25, 1,065.29 and 669

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Solution

The fourth proportional to 774.25, 1,065.29 and 669 is: 920.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.25 : 1,065.29 = 669 : x
  2. Step 2: Convert to fraction form
    774.25/1,065.29 = 669/x
  3. Step 3: Cross multiply
    774.25x = 1,065.29 × 669
  4. Step 4: Simplify right side
    774.25x = 712,680.68
  5. Step 5: Solve for x
    x = 712,680.68/774.25
  6. Step 6: Final answer
    x = 920.48

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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.