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Finding the Fourth Proportional to 1,553.82, 2,330.75 and 458.21

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Solution

The fourth proportional to 1,553.82, 2,330.75 and 458.21 is: 687.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.82 : 2,330.75 = 458.21 : x
  2. Step 2: Convert to fraction form
    1,553.82/2,330.75 = 458.21/x
  3. Step 3: Cross multiply
    1,553.82x = 2,330.75 × 458.21
  4. Step 4: Simplify right side
    1,553.82x = 1,067,959.01
  5. Step 5: Solve for x
    x = 1,067,959.01/1,553.82
  6. Step 6: Final answer
    x = 687.31

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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.