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Finding the Fourth Proportional to 473.67, 709.31 and 299.81

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Solution

The fourth proportional to 473.67, 709.31 and 299.81 is: 448.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.67 : 709.31 = 299.81 : x
  2. Step 2: Convert to fraction form
    473.67/709.31 = 299.81/x
  3. Step 3: Cross multiply
    473.67x = 709.31 × 299.81
  4. Step 4: Simplify right side
    473.67x = 212,658.09
  5. Step 5: Solve for x
    x = 212,658.09/473.67
  6. Step 6: Final answer
    x = 448.96

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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.