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Finding the Fourth Proportional to 466.05, 639.96 and 416.91

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Solution

The fourth proportional to 466.05, 639.96 and 416.91 is: 572.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.05 : 639.96 = 416.91 : x
  2. Step 2: Convert to fraction form
    466.05/639.96 = 416.91/x
  3. Step 3: Cross multiply
    466.05x = 639.96 × 416.91
  4. Step 4: Simplify right side
    466.05x = 266,805.72
  5. Step 5: Solve for x
    x = 266,805.72/466.05
  6. Step 6: Final answer
    x = 572.48

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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.