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Finding the Fourth Proportional to 806.01, 1,208.97 and 472.64

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Solution

The fourth proportional to 806.01, 1,208.97 and 472.64 is: 708.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.01 : 1,208.97 = 472.64 : x
  2. Step 2: Convert to fraction form
    806.01/1,208.97 = 472.64/x
  3. Step 3: Cross multiply
    806.01x = 1,208.97 × 472.64
  4. Step 4: Simplify right side
    806.01x = 571,407.58
  5. Step 5: Solve for x
    x = 571,407.58/806.01
  6. Step 6: Final answer
    x = 708.93

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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.