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Finding the Fourth Proportional to 629.99, 942.29 and 454.70

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Solution

The fourth proportional to 629.99, 942.29 and 454.70 is: 680.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.99 : 942.29 = 454.70 : x
  2. Step 2: Convert to fraction form
    629.99/942.29 = 454.70/x
  3. Step 3: Cross multiply
    629.99x = 942.29 × 454.70
  4. Step 4: Simplify right side
    629.99x = 428,455.69
  5. Step 5: Solve for x
    x = 428,455.69/629.99
  6. Step 6: Final answer
    x = 680.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.