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Finding the Fourth Proportional to 1,678.70, 2,517.80 and 446

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Solution

The fourth proportional to 1,678.70, 2,517.80 and 446 is: 668.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.70 : 2,517.80 = 446 : x
  2. Step 2: Convert to fraction form
    1,678.70/2,517.80 = 446/x
  3. Step 3: Cross multiply
    1,678.70x = 2,517.80 × 446
  4. Step 4: Simplify right side
    1,678.70x = 1,122,938.80
  5. Step 5: Solve for x
    x = 1,122,938.80/1,678.70
  6. Step 6: Final answer
    x = 668.93

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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.