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Finding the Fourth Proportional to 1,236.11, 1,705.74 and 705.08

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Solution

The fourth proportional to 1,236.11, 1,705.74 and 705.08 is: 972.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.11 : 1,705.74 = 705.08 : x
  2. Step 2: Convert to fraction form
    1,236.11/1,705.74 = 705.08/x
  3. Step 3: Cross multiply
    1,236.11x = 1,705.74 × 705.08
  4. Step 4: Simplify right side
    1,236.11x = 1,202,674.63
  5. Step 5: Solve for x
    x = 1,202,674.63/1,236.11
  6. Step 6: Final answer
    x = 972.96

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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.