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Finding the Fourth Proportional to 1,220.31, 1,683.79 and 723.11

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Solution

The fourth proportional to 1,220.31, 1,683.79 and 723.11 is: 997.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.31 : 1,683.79 = 723.11 : x
  2. Step 2: Convert to fraction form
    1,220.31/1,683.79 = 723.11/x
  3. Step 3: Cross multiply
    1,220.31x = 1,683.79 × 723.11
  4. Step 4: Simplify right side
    1,220.31x = 1,217,555.16
  5. Step 5: Solve for x
    x = 1,217,555.16/1,220.31
  6. Step 6: Final answer
    x = 997.74

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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.