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Finding the Fourth Proportional to 685.79, 1,028.11 and 274.53

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Solution

The fourth proportional to 685.79, 1,028.11 and 274.53 is: 411.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.79 : 1,028.11 = 274.53 : x
  2. Step 2: Convert to fraction form
    685.79/1,028.11 = 274.53/x
  3. Step 3: Cross multiply
    685.79x = 1,028.11 × 274.53
  4. Step 4: Simplify right side
    685.79x = 282,246.35
  5. Step 5: Solve for x
    x = 282,246.35/685.79
  6. Step 6: Final answer
    x = 411.57

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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.