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Finding the Fourth Proportional to 1,219.34, 1,830.63 and 671.78

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Solution

The fourth proportional to 1,219.34, 1,830.63 and 671.78 is: 1,008.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.34 : 1,830.63 = 671.78 : x
  2. Step 2: Convert to fraction form
    1,219.34/1,830.63 = 671.78/x
  3. Step 3: Cross multiply
    1,219.34x = 1,830.63 × 671.78
  4. Step 4: Simplify right side
    1,219.34x = 1,229,780.62
  5. Step 5: Solve for x
    x = 1,229,780.62/1,219.34
  6. Step 6: Final answer
    x = 1,008.56

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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.