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Finding the Fourth Proportional to 633.96, 948.99 and 574.56

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Solution

The fourth proportional to 633.96, 948.99 and 574.56 is: 860.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.96 : 948.99 = 574.56 : x
  2. Step 2: Convert to fraction form
    633.96/948.99 = 574.56/x
  3. Step 3: Cross multiply
    633.96x = 948.99 × 574.56
  4. Step 4: Simplify right side
    633.96x = 545,251.69
  5. Step 5: Solve for x
    x = 545,251.69/633.96
  6. Step 6: Final answer
    x = 860.07

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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.