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Finding the Fourth Proportional to 461.92, 691.76 and 445.36

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Solution

The fourth proportional to 461.92, 691.76 and 445.36 is: 666.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.92 : 691.76 = 445.36 : x
  2. Step 2: Convert to fraction form
    461.92/691.76 = 445.36/x
  3. Step 3: Cross multiply
    461.92x = 691.76 × 445.36
  4. Step 4: Simplify right side
    461.92x = 308,082.23
  5. Step 5: Solve for x
    x = 308,082.23/461.92
  6. Step 6: Final answer
    x = 666.96

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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.