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Finding the Fourth Proportional to 629.74, 942.78 and 468.14

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Solution

The fourth proportional to 629.74, 942.78 and 468.14 is: 700.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.74 : 942.78 = 468.14 : x
  2. Step 2: Convert to fraction form
    629.74/942.78 = 468.14/x
  3. Step 3: Cross multiply
    629.74x = 942.78 × 468.14
  4. Step 4: Simplify right side
    629.74x = 441,353.03
  5. Step 5: Solve for x
    x = 441,353.03/629.74
  6. Step 6: Final answer
    x = 700.85

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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.