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Finding the Fourth Proportional to 633.68, 948.72 and 438.24

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Solution

The fourth proportional to 633.68, 948.72 and 438.24 is: 656.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.68 : 948.72 = 438.24 : x
  2. Step 2: Convert to fraction form
    633.68/948.72 = 438.24/x
  3. Step 3: Cross multiply
    633.68x = 948.72 × 438.24
  4. Step 4: Simplify right side
    633.68x = 415,767.05
  5. Step 5: Solve for x
    x = 415,767.05/633.68
  6. Step 6: Final answer
    x = 656.12

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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.