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Finding the Fourth Proportional to 484.97, 664.91 and 476.21

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Solution

The fourth proportional to 484.97, 664.91 and 476.21 is: 652.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.97 : 664.91 = 476.21 : x
  2. Step 2: Convert to fraction form
    484.97/664.91 = 476.21/x
  3. Step 3: Cross multiply
    484.97x = 664.91 × 476.21
  4. Step 4: Simplify right side
    484.97x = 316,636.07
  5. Step 5: Solve for x
    x = 316,636.07/484.97
  6. Step 6: Final answer
    x = 652.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.