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Finding the Fourth Proportional to 896.92, 1,346.92 and 533.96

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Solution

The fourth proportional to 896.92, 1,346.92 and 533.96 is: 801.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.92 : 1,346.92 = 533.96 : x
  2. Step 2: Convert to fraction form
    896.92/1,346.92 = 533.96/x
  3. Step 3: Cross multiply
    896.92x = 1,346.92 × 533.96
  4. Step 4: Simplify right side
    896.92x = 719,201.40
  5. Step 5: Solve for x
    x = 719,201.40/896.92
  6. Step 6: Final answer
    x = 801.86

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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.