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Finding the Fourth Proportional to 482.28, 666.72 and 461.88

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Solution

The fourth proportional to 482.28, 666.72 and 461.88 is: 638.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.28 : 666.72 = 461.88 : x
  2. Step 2: Convert to fraction form
    482.28/666.72 = 461.88/x
  3. Step 3: Cross multiply
    482.28x = 666.72 × 461.88
  4. Step 4: Simplify right side
    482.28x = 307,944.63
  5. Step 5: Solve for x
    x = 307,944.63/482.28
  6. Step 6: Final answer
    x = 638.52

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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.