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Finding the Fourth Proportional to 806.62, 1,210.50 and 367.92

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Solution

The fourth proportional to 806.62, 1,210.50 and 367.92 is: 552.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.62 : 1,210.50 = 367.92 : x
  2. Step 2: Convert to fraction form
    806.62/1,210.50 = 367.92/x
  3. Step 3: Cross multiply
    806.62x = 1,210.50 × 367.92
  4. Step 4: Simplify right side
    806.62x = 445,371.70
  5. Step 5: Solve for x
    x = 445,371.70/806.62
  6. Step 6: Final answer
    x = 552.15

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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.