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Finding the Fourth Proportional to 1,402.72, 1,935.19 and 959.85

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Solution

The fourth proportional to 1,402.72, 1,935.19 and 959.85 is: 1,324.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.72 : 1,935.19 = 959.85 : x
  2. Step 2: Convert to fraction form
    1,402.72/1,935.19 = 959.85/x
  3. Step 3: Cross multiply
    1,402.72x = 1,935.19 × 959.85
  4. Step 4: Simplify right side
    1,402.72x = 1,857,493.32
  5. Step 5: Solve for x
    x = 1,857,493.32/1,402.72
  6. Step 6: Final answer
    x = 1,324.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.