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Finding the Fourth Proportional to 1,678.39, 2,517.81 and 582.49

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Solution

The fourth proportional to 1,678.39, 2,517.81 and 582.49 is: 873.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.39 : 2,517.81 = 582.49 : x
  2. Step 2: Convert to fraction form
    1,678.39/2,517.81 = 582.49/x
  3. Step 3: Cross multiply
    1,678.39x = 2,517.81 × 582.49
  4. Step 4: Simplify right side
    1,678.39x = 1,466,599.15
  5. Step 5: Solve for x
    x = 1,466,599.15/1,678.39
  6. Step 6: Final answer
    x = 873.81

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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.