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Finding the Fourth Proportional to 1,121.59, 1,680.07 and 657.96

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Solution

The fourth proportional to 1,121.59, 1,680.07 and 657.96 is: 985.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.59 : 1,680.07 = 657.96 : x
  2. Step 2: Convert to fraction form
    1,121.59/1,680.07 = 657.96/x
  3. Step 3: Cross multiply
    1,121.59x = 1,680.07 × 657.96
  4. Step 4: Simplify right side
    1,121.59x = 1,105,418.86
  5. Step 5: Solve for x
    x = 1,105,418.86/1,121.59
  6. Step 6: Final answer
    x = 985.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.