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Finding the Fourth Proportional to 472.89, 709.54 and 299.75

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Solution

The fourth proportional to 472.89, 709.54 and 299.75 is: 449.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.89 : 709.54 = 299.75 : x
  2. Step 2: Convert to fraction form
    472.89/709.54 = 299.75/x
  3. Step 3: Cross multiply
    472.89x = 709.54 × 299.75
  4. Step 4: Simplify right side
    472.89x = 212,685.64
  5. Step 5: Solve for x
    x = 212,685.64/472.89
  6. Step 6: Final answer
    x = 449.76

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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.