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Finding the Fourth Proportional to 601.92, 830.72 and 381.09

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Solution

The fourth proportional to 601.92, 830.72 and 381.09 is: 525.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.92 : 830.72 = 381.09 : x
  2. Step 2: Convert to fraction form
    601.92/830.72 = 381.09/x
  3. Step 3: Cross multiply
    601.92x = 830.72 × 381.09
  4. Step 4: Simplify right side
    601.92x = 316,583.15
  5. Step 5: Solve for x
    x = 316,583.15/601.92
  6. Step 6: Final answer
    x = 525.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.