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Finding the Fourth Proportional to 1,220.12, 1,683.76 and 723

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Solution

The fourth proportional to 1,220.12, 1,683.76 and 723 is: 997.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.12 : 1,683.76 = 723 : x
  2. Step 2: Convert to fraction form
    1,220.12/1,683.76 = 723/x
  3. Step 3: Cross multiply
    1,220.12x = 1,683.76 × 723
  4. Step 4: Simplify right side
    1,220.12x = 1,217,358.48
  5. Step 5: Solve for x
    x = 1,217,358.48/1,220.12
  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.