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Finding the Fourth Proportional to 633.75, 947.91 and 458.46

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Solution

The fourth proportional to 633.75, 947.91 and 458.46 is: 685.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.75 : 947.91 = 458.46 : x
  2. Step 2: Convert to fraction form
    633.75/947.91 = 458.46/x
  3. Step 3: Cross multiply
    633.75x = 947.91 × 458.46
  4. Step 4: Simplify right side
    633.75x = 434,578.82
  5. Step 5: Solve for x
    x = 434,578.82/633.75
  6. Step 6: Final answer
    x = 685.73

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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.