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Finding the Fourth Proportional to 633.52, 949.52 and 286.94

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Solution

The fourth proportional to 633.52, 949.52 and 286.94 is: 430.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.52 : 949.52 = 286.94 : x
  2. Step 2: Convert to fraction form
    633.52/949.52 = 286.94/x
  3. Step 3: Cross multiply
    633.52x = 949.52 × 286.94
  4. Step 4: Simplify right side
    633.52x = 272,449.09
  5. Step 5: Solve for x
    x = 272,449.09/633.52
  6. Step 6: Final answer
    x = 430.06

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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.