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Finding the Fourth Proportional to 633.18, 949.78 and 458.22

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Solution

The fourth proportional to 633.18, 949.78 and 458.22 is: 687.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.18 : 949.78 = 458.22 : x
  2. Step 2: Convert to fraction form
    633.18/949.78 = 458.22/x
  3. Step 3: Cross multiply
    633.18x = 949.78 × 458.22
  4. Step 4: Simplify right side
    633.18x = 435,208.19
  5. Step 5: Solve for x
    x = 435,208.19/633.18
  6. Step 6: Final answer
    x = 687.34

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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.