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Finding the Fourth Proportional to 633.07, 948.23 and 307.75

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Solution

The fourth proportional to 633.07, 948.23 and 307.75 is: 460.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.07 : 948.23 = 307.75 : x
  2. Step 2: Convert to fraction form
    633.07/948.23 = 307.75/x
  3. Step 3: Cross multiply
    633.07x = 948.23 × 307.75
  4. Step 4: Simplify right side
    633.07x = 291,817.78
  5. Step 5: Solve for x
    x = 291,817.78/633.07
  6. Step 6: Final answer
    x = 460.96

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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.