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Finding the Fourth Proportional to 629.54, 942.87 and 599.78

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Solution

The fourth proportional to 629.54, 942.87 and 599.78 is: 898.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.54 : 942.87 = 599.78 : x
  2. Step 2: Convert to fraction form
    629.54/942.87 = 599.78/x
  3. Step 3: Cross multiply
    629.54x = 942.87 × 599.78
  4. Step 4: Simplify right side
    629.54x = 565,514.57
  5. Step 5: Solve for x
    x = 565,514.57/629.54
  6. Step 6: Final answer
    x = 898.30

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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.