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Finding the Fourth Proportional to 633.25, 950.13 and 286.34

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Solution

The fourth proportional to 633.25, 950.13 and 286.34 is: 429.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.25 : 950.13 = 286.34 : x
  2. Step 2: Convert to fraction form
    633.25/950.13 = 286.34/x
  3. Step 3: Cross multiply
    633.25x = 950.13 × 286.34
  4. Step 4: Simplify right side
    633.25x = 272,054.04
  5. Step 5: Solve for x
    x = 272,054.04/633.25
  6. Step 6: Final answer
    x = 429.62

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1.5x scale

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.