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Finding the Fourth Proportional to 685.93, 1,028.99 and 275.06

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Solution

The fourth proportional to 685.93, 1,028.99 and 275.06 is: 412.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.93 : 1,028.99 = 275.06 : x
  2. Step 2: Convert to fraction form
    685.93/1,028.99 = 275.06/x
  3. Step 3: Cross multiply
    685.93x = 1,028.99 × 275.06
  4. Step 4: Simplify right side
    685.93x = 283,033.99
  5. Step 5: Solve for x
    x = 283,033.99/685.93
  6. Step 6: Final answer
    x = 412.63

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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.