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Finding the Fourth Proportional to 633.84, 949.68 and 536.24

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Solution

The fourth proportional to 633.84, 949.68 and 536.24 is: 803.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.84 : 949.68 = 536.24 : x
  2. Step 2: Convert to fraction form
    633.84/949.68 = 536.24/x
  3. Step 3: Cross multiply
    633.84x = 949.68 × 536.24
  4. Step 4: Simplify right side
    633.84x = 509,251.65
  5. Step 5: Solve for x
    x = 509,251.65/633.84
  6. Step 6: Final answer
    x = 803.44

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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.