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Finding the Fourth Proportional to 1,549.89, 2,325.78 and 672.23

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Solution

The fourth proportional to 1,549.89, 2,325.78 and 672.23 is: 1,008.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.89 : 2,325.78 = 672.23 : x
  2. Step 2: Convert to fraction form
    1,549.89/2,325.78 = 672.23/x
  3. Step 3: Cross multiply
    1,549.89x = 2,325.78 × 672.23
  4. Step 4: Simplify right side
    1,549.89x = 1,563,447.46
  5. Step 5: Solve for x
    x = 1,563,447.46/1,549.89
  6. Step 6: Final answer
    x = 1,008.75

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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.