Home / 1,105.12-1,664.26-962.56

Finding the Fourth Proportional to 1,105.12, 1,664.26 and 962.56

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Solution

The fourth proportional to 1,105.12, 1,664.26 and 962.56 is: 1,449.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.12 : 1,664.26 = 962.56 : x
  2. Step 2: Convert to fraction form
    1,105.12/1,664.26 = 962.56/x
  3. Step 3: Cross multiply
    1,105.12x = 1,664.26 × 962.56
  4. Step 4: Simplify right side
    1,105.12x = 1,601,950.11
  5. Step 5: Solve for x
    x = 1,601,950.11/1,105.12
  6. Step 6: Final answer
    x = 1,449.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.