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Finding the Fourth Proportional to 1,705.29, 2,353.05 and 959.22

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Solution

The fourth proportional to 1,705.29, 2,353.05 and 959.22 is: 1,323.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.29 : 2,353.05 = 959.22 : x
  2. Step 2: Convert to fraction form
    1,705.29/2,353.05 = 959.22/x
  3. Step 3: Cross multiply
    1,705.29x = 2,353.05 × 959.22
  4. Step 4: Simplify right side
    1,705.29x = 2,257,092.62
  5. Step 5: Solve for x
    x = 2,257,092.62/1,705.29
  6. Step 6: Final answer
    x = 1,323.58

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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.