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Finding the Fourth Proportional to 1,169.60, 1,612.16 and 959.40

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Solution

The fourth proportional to 1,169.60, 1,612.16 and 959.40 is: 1,322.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.60 : 1,612.16 = 959.40 : x
  2. Step 2: Convert to fraction form
    1,169.60/1,612.16 = 959.40/x
  3. Step 3: Cross multiply
    1,169.60x = 1,612.16 × 959.40
  4. Step 4: Simplify right side
    1,169.60x = 1,546,706.30
  5. Step 5: Solve for x
    x = 1,546,706.30/1,169.60
  6. Step 6: Final answer
    x = 1,322.42

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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.