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Finding the Fourth Proportional to 685.41, 1,028.75 and 377.53

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Solution

The fourth proportional to 685.41, 1,028.75 and 377.53 is: 566.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.41 : 1,028.75 = 377.53 : x
  2. Step 2: Convert to fraction form
    685.41/1,028.75 = 377.53/x
  3. Step 3: Cross multiply
    685.41x = 1,028.75 × 377.53
  4. Step 4: Simplify right side
    685.41x = 388,383.99
  5. Step 5: Solve for x
    x = 388,383.99/685.41
  6. Step 6: Final answer
    x = 566.64

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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.