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Finding the Fourth Proportional to 1,162.82, 1,742.20 and 969.07

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Solution

The fourth proportional to 1,162.82, 1,742.20 and 969.07 is: 1,451.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.82 : 1,742.20 = 969.07 : x
  2. Step 2: Convert to fraction form
    1,162.82/1,742.20 = 969.07/x
  3. Step 3: Cross multiply
    1,162.82x = 1,742.20 × 969.07
  4. Step 4: Simplify right side
    1,162.82x = 1,688,313.75
  5. Step 5: Solve for x
    x = 1,688,313.75/1,162.82
  6. Step 6: Final answer
    x = 1,451.91

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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.