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Finding the Fourth Proportional to 1,402.19, 1,936.64 and 959.32

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Solution

The fourth proportional to 1,402.19, 1,936.64 and 959.32 is: 1,324.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.19 : 1,936.64 = 959.32 : x
  2. Step 2: Convert to fraction form
    1,402.19/1,936.64 = 959.32/x
  3. Step 3: Cross multiply
    1,402.19x = 1,936.64 × 959.32
  4. Step 4: Simplify right side
    1,402.19x = 1,857,857.48
  5. Step 5: Solve for x
    x = 1,857,857.48/1,402.19
  6. Step 6: Final answer
    x = 1,324.97

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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.