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Finding the Fourth Proportional to 482.25, 664.91 and 377.00

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Solution

The fourth proportional to 482.25, 664.91 and 377.00 is: 519.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.25 : 664.91 = 377.00 : x
  2. Step 2: Convert to fraction form
    482.25/664.91 = 377.00/x
  3. Step 3: Cross multiply
    482.25x = 664.91 × 377.00
  4. Step 4: Simplify right side
    482.25x = 250,673.51
  5. Step 5: Solve for x
    x = 250,673.51/482.25
  6. Step 6: Final answer
    x = 519.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.