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Finding the Fourth Proportional to 1,257.02, 1,884.99 and 671.90

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Solution

The fourth proportional to 1,257.02, 1,884.99 and 671.90 is: 1,007.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.02 : 1,884.99 = 671.90 : x
  2. Step 2: Convert to fraction form
    1,257.02/1,884.99 = 671.90/x
  3. Step 3: Cross multiply
    1,257.02x = 1,884.99 × 671.90
  4. Step 4: Simplify right side
    1,257.02x = 1,266,524.78
  5. Step 5: Solve for x
    x = 1,266,524.78/1,257.02
  6. Step 6: Final answer
    x = 1,007.56

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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.