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Finding the Fourth Proportional to 1,705.31, 2,352.66 and 959.10

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Solution

The fourth proportional to 1,705.31, 2,352.66 and 959.10 is: 1,323.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.31 : 2,352.66 = 959.10 : x
  2. Step 2: Convert to fraction form
    1,705.31/2,352.66 = 959.10/x
  3. Step 3: Cross multiply
    1,705.31x = 2,352.66 × 959.10
  4. Step 4: Simplify right side
    1,705.31x = 2,256,422.04
  5. Step 5: Solve for x
    x = 2,256,422.04/1,705.31
  6. Step 6: Final answer
    x = 1,323.18

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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.