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Finding the Fourth Proportional to 629.99, 869.91 and 409.32

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Solution

The fourth proportional to 629.99, 869.91 and 409.32 is: 565.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.99 : 869.91 = 409.32 : x
  2. Step 2: Convert to fraction form
    629.99/869.91 = 409.32/x
  3. Step 3: Cross multiply
    629.99x = 869.91 × 409.32
  4. Step 4: Simplify right side
    629.99x = 356,071.56
  5. Step 5: Solve for x
    x = 356,071.56/629.99
  6. Step 6: Final answer
    x = 565.21

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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.