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Finding the Fourth Proportional to 806.09, 1,114.85 and 723.16

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Solution

The fourth proportional to 806.09, 1,114.85 and 723.16 is: 1,000.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.09 : 1,114.85 = 723.16 : x
  2. Step 2: Convert to fraction form
    806.09/1,114.85 = 723.16/x
  3. Step 3: Cross multiply
    806.09x = 1,114.85 × 723.16
  4. Step 4: Simplify right side
    806.09x = 806,218.13
  5. Step 5: Solve for x
    x = 806,218.13/806.09
  6. Step 6: Final answer
    x = 1,000.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.