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Finding the Fourth Proportional to 629.16, 865.29 and 504.62

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Solution

The fourth proportional to 629.16, 865.29 and 504.62 is: 694.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.16 : 865.29 = 504.62 : x
  2. Step 2: Convert to fraction form
    629.16/865.29 = 504.62/x
  3. Step 3: Cross multiply
    629.16x = 865.29 × 504.62
  4. Step 4: Simplify right side
    629.16x = 436,643.45
  5. Step 5: Solve for x
    x = 436,643.45/629.16
  6. Step 6: Final answer
    x = 694.01

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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.