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Finding the Fourth Proportional to 1,217.67, 1,680.36 and 720.27

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Solution

The fourth proportional to 1,217.67, 1,680.36 and 720.27 is: 993.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.67 : 1,680.36 = 720.27 : x
  2. Step 2: Convert to fraction form
    1,217.67/1,680.36 = 720.27/x
  3. Step 3: Cross multiply
    1,217.67x = 1,680.36 × 720.27
  4. Step 4: Simplify right side
    1,217.67x = 1,210,312.90
  5. Step 5: Solve for x
    x = 1,210,312.90/1,217.67
  6. Step 6: Final answer
    x = 993.96

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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.