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Finding the Fourth Proportional to 630.98, 945.40 and 447.46

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Solution

The fourth proportional to 630.98, 945.40 and 447.46 is: 670.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.98 : 945.40 = 447.46 : x
  2. Step 2: Convert to fraction form
    630.98/945.40 = 447.46/x
  3. Step 3: Cross multiply
    630.98x = 945.40 × 447.46
  4. Step 4: Simplify right side
    630.98x = 423,028.68
  5. Step 5: Solve for x
    x = 423,028.68/630.98
  6. Step 6: Final answer
    x = 670.43

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Double scale
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1.5x scale

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.