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Finding the Fourth Proportional to 806.14, 1,209.21 and 533.96

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Solution

The fourth proportional to 806.14, 1,209.21 and 533.96 is: 800.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.14 : 1,209.21 = 533.96 : x
  2. Step 2: Convert to fraction form
    806.14/1,209.21 = 533.96/x
  3. Step 3: Cross multiply
    806.14x = 1,209.21 × 533.96
  4. Step 4: Simplify right side
    806.14x = 645,669.77
  5. Step 5: Solve for x
    x = 645,669.77/806.14
  6. Step 6: Final answer
    x = 800.94

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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.