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Finding the Fourth Proportional to 629.81, 869.08 and 364.18

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Solution

The fourth proportional to 629.81, 869.08 and 364.18 is: 502.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.81 : 869.08 = 364.18 : x
  2. Step 2: Convert to fraction form
    629.81/869.08 = 364.18/x
  3. Step 3: Cross multiply
    629.81x = 869.08 × 364.18
  4. Step 4: Simplify right side
    629.81x = 316,501.55
  5. Step 5: Solve for x
    x = 316,501.55/629.81
  6. Step 6: Final answer
    x = 502.53

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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.