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Finding the Fourth Proportional to 1,217.63, 1,680.39 and 720.56

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Solution

The fourth proportional to 1,217.63, 1,680.39 and 720.56 is: 994.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.63 : 1,680.39 = 720.56 : x
  2. Step 2: Convert to fraction form
    1,217.63/1,680.39 = 720.56/x
  3. Step 3: Cross multiply
    1,217.63x = 1,680.39 × 720.56
  4. Step 4: Simplify right side
    1,217.63x = 1,210,813.42
  5. Step 5: Solve for x
    x = 1,210,813.42/1,217.63
  6. Step 6: Final answer
    x = 994.41

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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.