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Finding the Fourth Proportional to 1,402.30, 2,103.99 and 672.49

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Solution

The fourth proportional to 1,402.30, 2,103.99 and 672.49 is: 1,008.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.30 : 2,103.99 = 672.49 : x
  2. Step 2: Convert to fraction form
    1,402.30/2,103.99 = 672.49/x
  3. Step 3: Cross multiply
    1,402.30x = 2,103.99 × 672.49
  4. Step 4: Simplify right side
    1,402.30x = 1,414,912.24
  5. Step 5: Solve for x
    x = 1,414,912.24/1,402.30
  6. Step 6: Final answer
    x = 1,008.99

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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.