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Finding the Fourth Proportional to 468.18, 642.21 and 464.10

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Solution

The fourth proportional to 468.18, 642.21 and 464.10 is: 636.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.18 : 642.21 = 464.10 : x
  2. Step 2: Convert to fraction form
    468.18/642.21 = 464.10/x
  3. Step 3: Cross multiply
    468.18x = 642.21 × 464.10
  4. Step 4: Simplify right side
    468.18x = 298,049.66
  5. Step 5: Solve for x
    x = 298,049.66/468.18
  6. Step 6: Final answer
    x = 636.61

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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.