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Finding the Fourth Proportional to 633.31, 947.47 and 479.68

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Solution

The fourth proportional to 633.31, 947.47 and 479.68 is: 717.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.31 : 947.47 = 479.68 : x
  2. Step 2: Convert to fraction form
    633.31/947.47 = 479.68/x
  3. Step 3: Cross multiply
    633.31x = 947.47 × 479.68
  4. Step 4: Simplify right side
    633.31x = 454,481.21
  5. Step 5: Solve for x
    x = 454,481.21/633.31
  6. Step 6: Final answer
    x = 717.63

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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.