Home / 1,678.38-2,517.57-582.66

Finding the Fourth Proportional to 1,678.38, 2,517.57 and 582.66

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Solution

The fourth proportional to 1,678.38, 2,517.57 and 582.66 is: 873.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.38 : 2,517.57 = 582.66 : x
  2. Step 2: Convert to fraction form
    1,678.38/2,517.57 = 582.66/x
  3. Step 3: Cross multiply
    1,678.38x = 2,517.57 × 582.66
  4. Step 4: Simplify right side
    1,678.38x = 1,466,887.34
  5. Step 5: Solve for x
    x = 1,466,887.34/1,678.38
  6. Step 6: Final answer
    x = 873.99

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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.