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Finding the Fourth Proportional to 1,195.90, 1,650.33 and 698.62

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Solution

The fourth proportional to 1,195.90, 1,650.33 and 698.62 is: 964.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.90 : 1,650.33 = 698.62 : x
  2. Step 2: Convert to fraction form
    1,195.90/1,650.33 = 698.62/x
  3. Step 3: Cross multiply
    1,195.90x = 1,650.33 × 698.62
  4. Step 4: Simplify right side
    1,195.90x = 1,152,953.54
  5. Step 5: Solve for x
    x = 1,152,953.54/1,195.90
  6. Step 6: Final answer
    x = 964.09

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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.