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Finding the Fourth Proportional to 661.92, 913.16 and 382.09

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Solution

The fourth proportional to 661.92, 913.16 and 382.09 is: 527.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.92 : 913.16 = 382.09 : x
  2. Step 2: Convert to fraction form
    661.92/913.16 = 382.09/x
  3. Step 3: Cross multiply
    661.92x = 913.16 × 382.09
  4. Step 4: Simplify right side
    661.92x = 348,909.30
  5. Step 5: Solve for x
    x = 348,909.30/661.92
  6. Step 6: Final answer
    x = 527.12

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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.