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Finding the Fourth Proportional to 1,235.43, 1,705.51 and 955.03

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Solution

The fourth proportional to 1,235.43, 1,705.51 and 955.03 is: 1,318.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.43 : 1,705.51 = 955.03 : x
  2. Step 2: Convert to fraction form
    1,235.43/1,705.51 = 955.03/x
  3. Step 3: Cross multiply
    1,235.43x = 1,705.51 × 955.03
  4. Step 4: Simplify right side
    1,235.43x = 1,628,813.22
  5. Step 5: Solve for x
    x = 1,628,813.22/1,235.43
  6. Step 6: Final answer
    x = 1,318.42

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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.