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Finding the Fourth Proportional to 630.73, 945.48 and 305.92

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Solution

The fourth proportional to 630.73, 945.48 and 305.92 is: 458.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.73 : 945.48 = 305.92 : x
  2. Step 2: Convert to fraction form
    630.73/945.48 = 305.92/x
  3. Step 3: Cross multiply
    630.73x = 945.48 × 305.92
  4. Step 4: Simplify right side
    630.73x = 289,238.88
  5. Step 5: Solve for x
    x = 289,238.88/630.73
  6. Step 6: Final answer
    x = 458.58

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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.