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Finding the Fourth Proportional to 1,195.58, 1,650.01 and 698.38

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Solution

The fourth proportional to 1,195.58, 1,650.01 and 698.38 is: 963.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.58 : 1,650.01 = 698.38 : x
  2. Step 2: Convert to fraction form
    1,195.58/1,650.01 = 698.38/x
  3. Step 3: Cross multiply
    1,195.58x = 1,650.01 × 698.38
  4. Step 4: Simplify right side
    1,195.58x = 1,152,329.60
  5. Step 5: Solve for x
    x = 1,152,329.60/1,195.58
  6. Step 6: Final answer
    x = 963.83

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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.