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Finding the Fourth Proportional to 806.65, 1,212.00 and 514.28

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Solution

The fourth proportional to 806.65, 1,212.00 and 514.28 is: 772.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.65 : 1,212.00 = 514.28 : x
  2. Step 2: Convert to fraction form
    806.65/1,212.00 = 514.28/x
  3. Step 3: Cross multiply
    806.65x = 1,212.00 × 514.28
  4. Step 4: Simplify right side
    806.65x = 623,298.73
  5. Step 5: Solve for x
    x = 623,298.73/806.65
  6. Step 6: Final answer
    x = 772.71

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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.