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Finding the Fourth Proportional to 1,091.73, 1,506.77 and 649.87

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Solution

The fourth proportional to 1,091.73, 1,506.77 and 649.87 is: 896.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.73 : 1,506.77 = 649.87 : x
  2. Step 2: Convert to fraction form
    1,091.73/1,506.77 = 649.87/x
  3. Step 3: Cross multiply
    1,091.73x = 1,506.77 × 649.87
  4. Step 4: Simplify right side
    1,091.73x = 979,204.62
  5. Step 5: Solve for x
    x = 979,204.62/1,091.73
  6. Step 6: Final answer
    x = 896.93

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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.