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Finding the Fourth Proportional to 482.66, 665.01 and 465.75

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Solution

The fourth proportional to 482.66, 665.01 and 465.75 is: 641.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.66 : 665.01 = 465.75 : x
  2. Step 2: Convert to fraction form
    482.66/665.01 = 465.75/x
  3. Step 3: Cross multiply
    482.66x = 665.01 × 465.75
  4. Step 4: Simplify right side
    482.66x = 309,728.41
  5. Step 5: Solve for x
    x = 309,728.41/482.66
  6. Step 6: Final answer
    x = 641.71

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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.