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Finding the Fourth Proportional to 774.97, 1,069.34 and 495.45

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Solution

The fourth proportional to 774.97, 1,069.34 and 495.45 is: 683.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.97 : 1,069.34 = 495.45 : x
  2. Step 2: Convert to fraction form
    774.97/1,069.34 = 495.45/x
  3. Step 3: Cross multiply
    774.97x = 1,069.34 × 495.45
  4. Step 4: Simplify right side
    774.97x = 529,802.03
  5. Step 5: Solve for x
    x = 529,802.03/774.97
  6. Step 6: Final answer
    x = 683.64

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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.