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Finding the Fourth Proportional to 462.06, 691.82 and 381.26

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Solution

The fourth proportional to 462.06, 691.82 and 381.26 is: 570.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.06 : 691.82 = 381.26 : x
  2. Step 2: Convert to fraction form
    462.06/691.82 = 381.26/x
  3. Step 3: Cross multiply
    462.06x = 691.82 × 381.26
  4. Step 4: Simplify right side
    462.06x = 263,763.29
  5. Step 5: Solve for x
    x = 263,763.29/462.06
  6. Step 6: Final answer
    x = 570.84

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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.