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Finding the Fourth Proportional to 1,678.52, 2,518.43 and 638.80

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Solution

The fourth proportional to 1,678.52, 2,518.43 and 638.80 is: 958.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.52 : 2,518.43 = 638.80 : x
  2. Step 2: Convert to fraction form
    1,678.52/2,518.43 = 638.80/x
  3. Step 3: Cross multiply
    1,678.52x = 2,518.43 × 638.80
  4. Step 4: Simplify right side
    1,678.52x = 1,608,763.59
  5. Step 5: Solve for x
    x = 1,608,763.59/1,678.52
  6. Step 6: Final answer
    x = 958.44

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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.