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Finding the Fourth Proportional to 1,162.32, 1,744.96 and 998.84

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Solution

The fourth proportional to 1,162.32, 1,744.96 and 998.84 is: 1,499.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.32 : 1,744.96 = 998.84 : x
  2. Step 2: Convert to fraction form
    1,162.32/1,744.96 = 998.84/x
  3. Step 3: Cross multiply
    1,162.32x = 1,744.96 × 998.84
  4. Step 4: Simplify right side
    1,162.32x = 1,742,935.85
  5. Step 5: Solve for x
    x = 1,742,935.85/1,162.32
  6. Step 6: Final answer
    x = 1,499.53

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1.5x scale

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.