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Finding the Fourth Proportional to 685.24, 1,028.54 and 634.36

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Solution

The fourth proportional to 685.24, 1,028.54 and 634.36 is: 952.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.24 : 1,028.54 = 634.36 : x
  2. Step 2: Convert to fraction form
    685.24/1,028.54 = 634.36/x
  3. Step 3: Cross multiply
    685.24x = 1,028.54 × 634.36
  4. Step 4: Simplify right side
    685.24x = 652,464.63
  5. Step 5: Solve for x
    x = 652,464.63/685.24
  6. Step 6: Final answer
    x = 952.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.