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Finding the Fourth Proportional to 1,279.00, 1,916.78 and 661.41

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Solution

The fourth proportional to 1,279.00, 1,916.78 and 661.41 is: 991.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.00 : 1,916.78 = 661.41 : x
  2. Step 2: Convert to fraction form
    1,279.00/1,916.78 = 661.41/x
  3. Step 3: Cross multiply
    1,279.00x = 1,916.78 × 661.41
  4. Step 4: Simplify right side
    1,279.00x = 1,267,774.15
  5. Step 5: Solve for x
    x = 1,267,774.15/1,279.00
  6. Step 6: Final answer
    x = 991.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.