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Finding the Fourth Proportional to 1,195.77, 1,650.20 and 671.85

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Solution

The fourth proportional to 1,195.77, 1,650.20 and 671.85 is: 927.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.77 : 1,650.20 = 671.85 : x
  2. Step 2: Convert to fraction form
    1,195.77/1,650.20 = 671.85/x
  3. Step 3: Cross multiply
    1,195.77x = 1,650.20 × 671.85
  4. Step 4: Simplify right side
    1,195.77x = 1,108,683.51
  5. Step 5: Solve for x
    x = 1,108,683.51/1,195.77
  6. Step 6: Final answer
    x = 927.17

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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.