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Finding the Fourth Proportional to 1,246.96, 1,720.92 and 723.16

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Solution

The fourth proportional to 1,246.96, 1,720.92 and 723.16 is: 998.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.96 : 1,720.92 = 723.16 : x
  2. Step 2: Convert to fraction form
    1,246.96/1,720.92 = 723.16/x
  3. Step 3: Cross multiply
    1,246.96x = 1,720.92 × 723.16
  4. Step 4: Simplify right side
    1,246.96x = 1,244,500.51
  5. Step 5: Solve for x
    x = 1,244,500.51/1,246.96
  6. Step 6: Final answer
    x = 998.03

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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.