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Finding the Fourth Proportional to 462.12, 691.83 and 299.31

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Solution

The fourth proportional to 462.12, 691.83 and 299.31 is: 448.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.12 : 691.83 = 299.31 : x
  2. Step 2: Convert to fraction form
    462.12/691.83 = 299.31/x
  3. Step 3: Cross multiply
    462.12x = 691.83 × 299.31
  4. Step 4: Simplify right side
    462.12x = 207,071.64
  5. Step 5: Solve for x
    x = 207,071.64/462.12
  6. Step 6: Final answer
    x = 448.09

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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.