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Finding the Fourth Proportional to 630.83, 945.87 and 301.65

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Solution

The fourth proportional to 630.83, 945.87 and 301.65 is: 452.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.83 : 945.87 = 301.65 : x
  2. Step 2: Convert to fraction form
    630.83/945.87 = 301.65/x
  3. Step 3: Cross multiply
    630.83x = 945.87 × 301.65
  4. Step 4: Simplify right side
    630.83x = 285,321.69
  5. Step 5: Solve for x
    x = 285,321.69/630.83
  6. Step 6: Final answer
    x = 452.30

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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.