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Finding the Fourth Proportional to 468.46, 644.79 and 412.84

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Solution

The fourth proportional to 468.46, 644.79 and 412.84 is: 568.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.46 : 644.79 = 412.84 : x
  2. Step 2: Convert to fraction form
    468.46/644.79 = 412.84/x
  3. Step 3: Cross multiply
    468.46x = 644.79 × 412.84
  4. Step 4: Simplify right side
    468.46x = 266,195.10
  5. Step 5: Solve for x
    x = 266,195.10/468.46
  6. Step 6: Final answer
    x = 568.23

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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.