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Finding the Fourth Proportional to 806.16, 1,207.72 and 476.11

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Solution

The fourth proportional to 806.16, 1,207.72 and 476.11 is: 713.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.16 : 1,207.72 = 476.11 : x
  2. Step 2: Convert to fraction form
    806.16/1,207.72 = 476.11/x
  3. Step 3: Cross multiply
    806.16x = 1,207.72 × 476.11
  4. Step 4: Simplify right side
    806.16x = 575,007.00
  5. Step 5: Solve for x
    x = 575,007.00/806.16
  6. Step 6: Final answer
    x = 713.27

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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.