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Finding the Fourth Proportional to 633.77, 950.97 and 309.13

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Solution

The fourth proportional to 633.77, 950.97 and 309.13 is: 463.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.77 : 950.97 = 309.13 : x
  2. Step 2: Convert to fraction form
    633.77/950.97 = 309.13/x
  3. Step 3: Cross multiply
    633.77x = 950.97 × 309.13
  4. Step 4: Simplify right side
    633.77x = 293,973.36
  5. Step 5: Solve for x
    x = 293,973.36/633.77
  6. Step 6: Final answer
    x = 463.85

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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.