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Finding the Fourth Proportional to 482.17, 665.05 and 466.10

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Solution

The fourth proportional to 482.17, 665.05 and 466.10 is: 642.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.17 : 665.05 = 466.10 : x
  2. Step 2: Convert to fraction form
    482.17/665.05 = 466.10/x
  3. Step 3: Cross multiply
    482.17x = 665.05 × 466.10
  4. Step 4: Simplify right side
    482.17x = 309,979.81
  5. Step 5: Solve for x
    x = 309,979.81/482.17
  6. Step 6: Final answer
    x = 642.88

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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.