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Finding the Fourth Proportional to 718.53, 1,078.69 and 685.42

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Solution

The fourth proportional to 718.53, 1,078.69 and 685.42 is: 1,028.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.53 : 1,078.69 = 685.42 : x
  2. Step 2: Convert to fraction form
    718.53/1,078.69 = 685.42/x
  3. Step 3: Cross multiply
    718.53x = 1,078.69 × 685.42
  4. Step 4: Simplify right side
    718.53x = 739,355.70
  5. Step 5: Solve for x
    x = 739,355.70/718.53
  6. Step 6: Final answer
    x = 1,028.98

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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.