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Finding the Fourth Proportional to 1,026.28, 1,539.42 and 448.75

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Solution

The fourth proportional to 1,026.28, 1,539.42 and 448.75 is: 673.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.28 : 1,539.42 = 448.75 : x
  2. Step 2: Convert to fraction form
    1,026.28/1,539.42 = 448.75/x
  3. Step 3: Cross multiply
    1,026.28x = 1,539.42 × 448.75
  4. Step 4: Simplify right side
    1,026.28x = 690,814.73
  5. Step 5: Solve for x
    x = 690,814.73/1,026.28
  6. Step 6: Final answer
    x = 673.13

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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.