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Finding the Fourth Proportional to 483.13, 665.62 and 460.09

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Solution

The fourth proportional to 483.13, 665.62 and 460.09 is: 633.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.13 : 665.62 = 460.09 : x
  2. Step 2: Convert to fraction form
    483.13/665.62 = 460.09/x
  3. Step 3: Cross multiply
    483.13x = 665.62 × 460.09
  4. Step 4: Simplify right side
    483.13x = 306,245.11
  5. Step 5: Solve for x
    x = 306,245.11/483.13
  6. Step 6: Final answer
    x = 633.88

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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.