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Finding the Fourth Proportional to 1,383.03, 2,073.96 and 458.34

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Solution

The fourth proportional to 1,383.03, 2,073.96 and 458.34 is: 687.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.03 : 2,073.96 = 458.34 : x
  2. Step 2: Convert to fraction form
    1,383.03/2,073.96 = 458.34/x
  3. Step 3: Cross multiply
    1,383.03x = 2,073.96 × 458.34
  4. Step 4: Simplify right side
    1,383.03x = 950,578.83
  5. Step 5: Solve for x
    x = 950,578.83/1,383.03
  6. Step 6: Final answer
    x = 687.32

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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.