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Finding the Fourth Proportional to 629.24, 867.18 and 505.30

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Solution

The fourth proportional to 629.24, 867.18 and 505.30 is: 696.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.24 : 867.18 = 505.30 : x
  2. Step 2: Convert to fraction form
    629.24/867.18 = 505.30/x
  3. Step 3: Cross multiply
    629.24x = 867.18 × 505.30
  4. Step 4: Simplify right side
    629.24x = 438,186.05
  5. Step 5: Solve for x
    x = 438,186.05/629.24
  6. Step 6: Final answer
    x = 696.37

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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.