Home / 1,195.21-1,649.40-664.11

Finding the Fourth Proportional to 1,195.21, 1,649.40 and 664.11

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Solution

The fourth proportional to 1,195.21, 1,649.40 and 664.11 is: 916.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.21 : 1,649.40 = 664.11 : x
  2. Step 2: Convert to fraction form
    1,195.21/1,649.40 = 664.11/x
  3. Step 3: Cross multiply
    1,195.21x = 1,649.40 × 664.11
  4. Step 4: Simplify right side
    1,195.21x = 1,095,383.03
  5. Step 5: Solve for x
    x = 1,095,383.03/1,195.21
  6. Step 6: Final answer
    x = 916.48

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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.