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Finding the Fourth Proportional to 1,305.34, 1,957.74 and 656.26

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Solution

The fourth proportional to 1,305.34, 1,957.74 and 656.26 is: 984.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.34 : 1,957.74 = 656.26 : x
  2. Step 2: Convert to fraction form
    1,305.34/1,957.74 = 656.26/x
  3. Step 3: Cross multiply
    1,305.34x = 1,957.74 × 656.26
  4. Step 4: Simplify right side
    1,305.34x = 1,284,786.45
  5. Step 5: Solve for x
    x = 1,284,786.45/1,305.34
  6. Step 6: Final answer
    x = 984.25

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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.