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Finding the Fourth Proportional to 500.43, 749.41 and 295.05

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Solution

The fourth proportional to 500.43, 749.41 and 295.05 is: 441.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.43 : 749.41 = 295.05 : x
  2. Step 2: Convert to fraction form
    500.43/749.41 = 295.05/x
  3. Step 3: Cross multiply
    500.43x = 749.41 × 295.05
  4. Step 4: Simplify right side
    500.43x = 221,113.42
  5. Step 5: Solve for x
    x = 221,113.42/500.43
  6. Step 6: Final answer
    x = 441.85

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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.