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Finding the Fourth Proportional to 633.62, 950.41 and 286.70

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Solution

The fourth proportional to 633.62, 950.41 and 286.70 is: 430.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.62 : 950.41 = 286.70 : x
  2. Step 2: Convert to fraction form
    633.62/950.41 = 286.70/x
  3. Step 3: Cross multiply
    633.62x = 950.41 × 286.70
  4. Step 4: Simplify right side
    633.62x = 272,483.50
  5. Step 5: Solve for x
    x = 272,483.50/633.62
  6. Step 6: Final answer
    x = 430.04

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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.