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Finding the Fourth Proportional to 1,141.80, 1,708.02 and 959.40

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Solution

The fourth proportional to 1,141.80, 1,708.02 and 959.40 is: 1,435.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.80 : 1,708.02 = 959.40 : x
  2. Step 2: Convert to fraction form
    1,141.80/1,708.02 = 959.40/x
  3. Step 3: Cross multiply
    1,141.80x = 1,708.02 × 959.40
  4. Step 4: Simplify right side
    1,141.80x = 1,638,674.39
  5. Step 5: Solve for x
    x = 1,638,674.39/1,141.80
  6. Step 6: Final answer
    x = 1,435.17

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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.