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Finding the Fourth Proportional to 685.93, 1,028.50 and 338.51

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Solution

The fourth proportional to 685.93, 1,028.50 and 338.51 is: 507.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.93 : 1,028.50 = 338.51 : x
  2. Step 2: Convert to fraction form
    685.93/1,028.50 = 338.51/x
  3. Step 3: Cross multiply
    685.93x = 1,028.50 × 338.51
  4. Step 4: Simplify right side
    685.93x = 348,157.54
  5. Step 5: Solve for x
    x = 348,157.54/685.93
  6. Step 6: Final answer
    x = 507.57

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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.