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Finding the Fourth Proportional to 1,217.56, 1,680.54 and 693.90

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Solution

The fourth proportional to 1,217.56, 1,680.54 and 693.90 is: 957.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.56 : 1,680.54 = 693.90 : x
  2. Step 2: Convert to fraction form
    1,217.56/1,680.54 = 693.90/x
  3. Step 3: Cross multiply
    1,217.56x = 1,680.54 × 693.90
  4. Step 4: Simplify right side
    1,217.56x = 1,166,122.50
  5. Step 5: Solve for x
    x = 1,166,122.50/1,217.56
  6. Step 6: Final answer
    x = 957.75

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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.