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Finding the Fourth Proportional to 484.49, 726.99 and 458.36

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Solution

The fourth proportional to 484.49, 726.99 and 458.36 is: 687.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.49 : 726.99 = 458.36 : x
  2. Step 2: Convert to fraction form
    484.49/726.99 = 458.36/x
  3. Step 3: Cross multiply
    484.49x = 726.99 × 458.36
  4. Step 4: Simplify right side
    484.49x = 333,219.50
  5. Step 5: Solve for x
    x = 333,219.50/484.49
  6. Step 6: Final answer
    x = 687.78

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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.