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Finding the Fourth Proportional to 630.30, 945.48 and 321.78

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Solution

The fourth proportional to 630.30, 945.48 and 321.78 is: 482.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.30 : 945.48 = 321.78 : x
  2. Step 2: Convert to fraction form
    630.30/945.48 = 321.78/x
  3. Step 3: Cross multiply
    630.30x = 945.48 × 321.78
  4. Step 4: Simplify right side
    630.30x = 304,236.55
  5. Step 5: Solve for x
    x = 304,236.55/630.30
  6. Step 6: Final answer
    x = 482.69

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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.