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Finding the Fourth Proportional to 1,548.09, 2,321.87 and 670.10

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Solution

The fourth proportional to 1,548.09, 2,321.87 and 670.10 is: 1,005.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.09 : 2,321.87 = 670.10 : x
  2. Step 2: Convert to fraction form
    1,548.09/2,321.87 = 670.10/x
  3. Step 3: Cross multiply
    1,548.09x = 2,321.87 × 670.10
  4. Step 4: Simplify right side
    1,548.09x = 1,555,876.66
  5. Step 5: Solve for x
    x = 1,555,876.66/1,548.09
  6. Step 6: Final answer
    x = 1,005.03

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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.