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Finding the Fourth Proportional to 633.43, 948.30 and 389.22

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Solution

The fourth proportional to 633.43, 948.30 and 389.22 is: 582.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.43 : 948.30 = 389.22 : x
  2. Step 2: Convert to fraction form
    633.43/948.30 = 389.22/x
  3. Step 3: Cross multiply
    633.43x = 948.30 × 389.22
  4. Step 4: Simplify right side
    633.43x = 369,097.33
  5. Step 5: Solve for x
    x = 369,097.33/633.43
  6. Step 6: Final answer
    x = 582.70

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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.