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Finding the Fourth Proportional to 629.64, 868.23 and 409.10

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Solution

The fourth proportional to 629.64, 868.23 and 409.10 is: 564.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.64 : 868.23 = 409.10 : x
  2. Step 2: Convert to fraction form
    629.64/868.23 = 409.10/x
  3. Step 3: Cross multiply
    629.64x = 868.23 × 409.10
  4. Step 4: Simplify right side
    629.64x = 355,188.55
  5. Step 5: Solve for x
    x = 355,188.55/629.64
  6. Step 6: Final answer
    x = 564.11

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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.