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Finding the Fourth Proportional to 630.47, 946.09 and 449.37

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Solution

The fourth proportional to 630.47, 946.09 and 449.37 is: 674.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.47 : 946.09 = 449.37 : x
  2. Step 2: Convert to fraction form
    630.47/946.09 = 449.37/x
  3. Step 3: Cross multiply
    630.47x = 946.09 × 449.37
  4. Step 4: Simplify right side
    630.47x = 425,144.46
  5. Step 5: Solve for x
    x = 425,144.46/630.47
  6. Step 6: Final answer
    x = 674.33

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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.