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Finding the Fourth Proportional to 629.95, 869.19 and 408.91

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Solution

The fourth proportional to 629.95, 869.19 and 408.91 is: 564.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.95 : 869.19 = 408.91 : x
  2. Step 2: Convert to fraction form
    629.95/869.19 = 408.91/x
  3. Step 3: Cross multiply
    629.95x = 869.19 × 408.91
  4. Step 4: Simplify right side
    629.95x = 355,420.48
  5. Step 5: Solve for x
    x = 355,420.48/629.95
  6. Step 6: Final answer
    x = 564.20

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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.