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Finding the Fourth Proportional to 1,217.73, 1,680.47 and 693.79

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Solution

The fourth proportional to 1,217.73, 1,680.47 and 693.79 is: 957.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.73 : 1,680.47 = 693.79 : x
  2. Step 2: Convert to fraction form
    1,217.73/1,680.47 = 693.79/x
  3. Step 3: Cross multiply
    1,217.73x = 1,680.47 × 693.79
  4. Step 4: Simplify right side
    1,217.73x = 1,165,893.28
  5. Step 5: Solve for x
    x = 1,165,893.28/1,217.73
  6. Step 6: Final answer
    x = 957.43

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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.