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Finding the Fourth Proportional to 629.30, 869.42 and 433.85

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Solution

The fourth proportional to 629.30, 869.42 and 433.85 is: 599.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.30 : 869.42 = 433.85 : x
  2. Step 2: Convert to fraction form
    629.30/869.42 = 433.85/x
  3. Step 3: Cross multiply
    629.30x = 869.42 × 433.85
  4. Step 4: Simplify right side
    629.30x = 377,191.35
  5. Step 5: Solve for x
    x = 377,191.35/629.30
  6. Step 6: Final answer
    x = 599.39

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1.5x scale

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.