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Finding the Fourth Proportional to 704.92, 1,057.20 and 411.82

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Solution

The fourth proportional to 704.92, 1,057.20 and 411.82 is: 617.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.92 : 1,057.20 = 411.82 : x
  2. Step 2: Convert to fraction form
    704.92/1,057.20 = 411.82/x
  3. Step 3: Cross multiply
    704.92x = 1,057.20 × 411.82
  4. Step 4: Simplify right side
    704.92x = 435,376.10
  5. Step 5: Solve for x
    x = 435,376.10/704.92
  6. Step 6: Final answer
    x = 617.62

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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.