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Finding the Fourth Proportional to 1,195.71, 1,649.77 and 974.31

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Solution

The fourth proportional to 1,195.71, 1,649.77 and 974.31 is: 1,344.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.71 : 1,649.77 = 974.31 : x
  2. Step 2: Convert to fraction form
    1,195.71/1,649.77 = 974.31/x
  3. Step 3: Cross multiply
    1,195.71x = 1,649.77 × 974.31
  4. Step 4: Simplify right side
    1,195.71x = 1,607,387.41
  5. Step 5: Solve for x
    x = 1,607,387.41/1,195.71
  6. Step 6: Final answer
    x = 1,344.30

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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.