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Finding the Fourth Proportional to 1,168.23, 1,612.06 and 696.28

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Solution

The fourth proportional to 1,168.23, 1,612.06 and 696.28 is: 960.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.23 : 1,612.06 = 696.28 : x
  2. Step 2: Convert to fraction form
    1,168.23/1,612.06 = 696.28/x
  3. Step 3: Cross multiply
    1,168.23x = 1,612.06 × 696.28
  4. Step 4: Simplify right side
    1,168.23x = 1,122,445.14
  5. Step 5: Solve for x
    x = 1,122,445.14/1,168.23
  6. Step 6: Final answer
    x = 960.81

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1.5x scale

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.