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Finding the Fourth Proportional to 468.38, 650.84 and 463.32

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Solution

The fourth proportional to 468.38, 650.84 and 463.32 is: 643.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.38 : 650.84 = 463.32 : x
  2. Step 2: Convert to fraction form
    468.38/650.84 = 463.32/x
  3. Step 3: Cross multiply
    468.38x = 650.84 × 463.32
  4. Step 4: Simplify right side
    468.38x = 301,544.87
  5. Step 5: Solve for x
    x = 301,544.87/468.38
  6. Step 6: Final answer
    x = 643.80

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.