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Finding the Fourth Proportional to 806.63, 1,208.99 and 631.67

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Solution

The fourth proportional to 806.63, 1,208.99 and 631.67 is: 946.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.63 : 1,208.99 = 631.67 : x
  2. Step 2: Convert to fraction form
    806.63/1,208.99 = 631.67/x
  3. Step 3: Cross multiply
    806.63x = 1,208.99 × 631.67
  4. Step 4: Simplify right side
    806.63x = 763,678.25
  5. Step 5: Solve for x
    x = 763,678.25/806.63
  6. Step 6: Final answer
    x = 946.76

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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.