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Finding the Fourth Proportional to 1,195.71, 1,649.94 and 698.31

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Solution

The fourth proportional to 1,195.71, 1,649.94 and 698.31 is: 963.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.71 : 1,649.94 = 698.31 : x
  2. Step 2: Convert to fraction form
    1,195.71/1,649.94 = 698.31/x
  3. Step 3: Cross multiply
    1,195.71x = 1,649.94 × 698.31
  4. Step 4: Simplify right side
    1,195.71x = 1,152,169.60
  5. Step 5: Solve for x
    x = 1,152,169.60/1,195.71
  6. Step 6: Final answer
    x = 963.59

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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.